chapter 5.1 – 5.3 quiz review quizdom remotes!!!

Chapter 5.1 – 5.3 Chapter 5.1 – 5.3

Quiz ReviewQuiz Review

Quizdom Remotes!!!Quizdom Remotes!!!

Question 2Question 2

Using the graph of f(x) = xUsing the graph of f(x) = x22 as a guide, as a guide, describe the transformations.describe the transformations.

g(x) = (x + 6)g(x) = (x + 6)2 2 – 2 – 2

a.a. is translated 2 units left and 6 units down.is translated 2 units left and 6 units down.

b.b. is translated 6 units right and 2 units up.is translated 6 units right and 2 units up.

c.c. is translated 6 units left and 2 units downis translated 6 units left and 2 units down

d.d. is translated 2 units right and 6 units up.is translated 2 units right and 6 units up.


Using the graph of f(x) = xUsing the graph of f(x) = x22 as a guide, as a guide, describe the transformations.describe the transformations.

g(x) = -8xg(x) = -8x2 2

a.a. A reflection across the A reflection across the xx-axis and a -axis and a horizontal stretch by a factor of 8.horizontal stretch by a factor of 8.

b.b. A reflection across the A reflection across the xx-axis and a -axis and a vertical compression by a factor of 8vertical compression by a factor of 8

c.c. A reflection across the A reflection across the xx-axis and a -axis and a vertical stretch by a factor of 8.vertical stretch by a factor of 8.

d.d. A reflection across the A reflection across the xx-axis and a -axis and a horizontal compression by a factor of 8.horizontal compression by a factor of 8.

Question 4Question 4The parent function f(x) = xThe parent function f(x) = x22 is reflected is reflected

across the across the xx-axis, vertically stretched by -axis, vertically stretched by a factor of 10, and translated right 10 a factor of 10, and translated right 10 units to create units to create gg. Use the description to . Use the description to write the quadratic function in vertex write the quadratic function in vertex form.form.

a.a.b.b.c.c.d.d.


Identify the axis of symmetry for the Identify the axis of symmetry for the graph ofgraph of

a.)a.) x = -1x = -1 b.)b.) y = -1y = -1

c.)c.) y = 1y = 1 d.)d.) x = 1 x = 1


Determine whether the graph opens up or down. Find the axis of symmetry, the vertex and the y-intercept. a.) The parabola opens downward.

The axis of symmetry is the line x = -1.The vertex is the point (-1, 14).The y-intercept is 10.

b.) The parabola opens upward.The axis of symmetry is the line x = -1.The vertex is the point (-1, 14)The y-intercept 10.

c.) The parabola opens upward.The axis of symmetry is the line x = -1.The vertex is the point (-1, -6).The y-intercept -5.

d.) The parabola opens downward.The axis of symmetry is the line x = -1.The vertex is the point (-1, 7).The y-intercept is 5.


Find the minimum or maximum value of Find the minimum or maximum value of y = xy = x22 – 2x – 6. Then state the – 2x – 6. Then state the

domain and range of the function.domain and range of the function.a.The maximum value is 1. D: {all real a.The maximum value is 1. D: {all real

numbers}; R: {numbers}; R: {y | yy | y >> -7} -7}b.The maximum value is 1. D: {b.The maximum value is 1. D: {x | xx | x >> -7 }; -7 };

R: {all real numbers} R: {all real numbers} c.The minimum value is –7. D: {all real c.The minimum value is –7. D: {all real

numbers}; R: {numbers}; R: {y | yy | y >> -7} -7}d.The minimum value is –7. D: {d.The minimum value is –7. D: {x | xx | x >> -7 }; -7 };

R: {all real numbers}R: {all real numbers}

Question 8Question 8The distance The distance dd in meters traveled by a in meters traveled by a

skateboard on a ramp is related to the time skateboard on a ramp is related to the time traveled traveled tt in seconds. This is modeled by in seconds. This is modeled by the function: the function:

d(t) = -4.9td(t) = -4.9t22 – 2.3t + 5 . What is the maximum – 2.3t + 5 . What is the maximum distance the skateboard can travel, and at distance the skateboard can travel, and at what time would it achieve this distance? what time would it achieve this distance?

a. 4.73 meters at 0.23 secondsa. 4.73 meters at 0.23 seconds

b. 5.00 meters in 0 seconds b. 5.00 meters in 0 seconds

c. 0.23 meters at 4.73 secondsc. 0.23 meters at 4.73 seconds

d. 5.00 meters at 0.47 secondsd. 5.00 meters at 0.47 seconds


Which quadratic function does the graph represent?

1 2 3 4 5 6 7 8 9 10–1–2–3–4–5 x

1

2

3

4

5

6

–1

–2

–3

–4

–5

–6

y


Find the zeros of by using a graph.Find the zeros of by using a graph.

a. –5a. –5

b. –5 and 1b. –5 and 1

c. –2 and –9c. –2 and –9

d. 5 and –1d. 5 and –1


Find the zeros of the function Find the zeros of the function

f(x) = xf(x) = x22 +23x + 60 by factoring. +23x + 60 by factoring.

a.)a.) x = -20, -3x = -20, -3

b.)b.) x = 4, 15x = 4, 15

c.)c.) x = -4, -15x = -4, -15

d.)d.) x = 20, 3x = 20, 3


A toy rocket is launched from the ground A toy rocket is launched from the ground level with an initial vertical velocity of 96 level with an initial vertical velocity of 96 ft/s. After how many seconds will the ft/s. After how many seconds will the rocket hit the ground? rocket hit the ground?

a. 6 secondsa. 6 seconds

b. 0 seconds or 6 seconds b. 0 seconds or 6 seconds

c. 0 secondsc. 0 seconds

d. secondsd. seconds6


Find the roots of the equationFind the roots of the equation

30x – 45 = 5x30x – 45 = 5x2 2 by factoring.by factoring.

A.) x = -9A.) x = -9

B.) x = 3B.) x = 3

C.) x = 9C.) x = 9

D.) x = -3D.) x = -3


Write a quadratic function in standard Write a quadratic function in standard form with zeros 6 and –8.form with zeros 6 and –8.

a.)a.)

b.)b.)

c.)c.)

d.)d.)


A quadratic function written in the form , A quadratic function written in the form ,

f(x) = a(x – h)f(x) = a(x – h)22 + k + k where where aa, , hh, , and and kk are constants and ( are constants and (hh, , kk) is the ) is the vertexvertex

a. parabolaa. parabola

b. quadratic functionb. quadratic function

c. axis of symmetryc. axis of symmetry

d. standard formd. standard form

e. vertex forme. vertex form


where where aa, , bb, , and and cc are real numbers and are real numbers and aa is not is not 0.0.


b. axis of symmetryb. axis of symmetry

c. standard formc. standard form

d. vertex formd. vertex form


The shape of the graph of a quadratic The shape of the graph of a quadratic function function




d. vertexd. vertex


The lowest or highest point in a The lowest or highest point in a parabolaparabola


b. axis of symmetryb. axis of symmetry

c. vertex of a parabolac. vertex of a parabola

d. maximum valued. maximum value


The line through the vertex of a The line through the vertex of a parabola that divides the parabola parabola that divides the parabola into two congruent halves into two congruent halves

A. quadratic functionA. quadratic function

B. axis of symmetryB. axis of symmetry

C. vertex of a parabolaC. vertex of a parabola

D. maximum valueD. maximum value


The The yy-value of the vertex when a -value of the vertex when a parabola opens upward parabola opens upward

a. minimum valuea. minimum value



d. vertex of a parabolad. vertex of a parabola

e. maximum value e. maximum value

chapter 5.1 – 5.3 quiz review quizdom remotes!!!

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line x

maximum value of y

axis of symmetry

real numbers

minimum value

graph of fx

vertex form

parent function fx