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8-1 to 8-3 Review Quizizz - Quadratic Functions

Total questions: 24

Worksheet time: 27mins

Name
Class
Date
1.

What is the standard form of a quadratic?

a)

y=mx+by=mx+b

b)

y=ax2+bx+cy=ax^2+bx+c

c)

y=a(xh)2+ky=a\left(x-h\right)^2+k

d)

y=(x+a)(x+b)y=\left(x+a\right)\left(x+b\right)

2.

What is the vertex form of a quadratic?

a)

y=mx+by=mx+b

b)

y=ax2+bx+cy=ax^2+bx+c

c)

y=a(xh)2+ky=a\left(x-h\right)^2+k

d)

y=(x+a)(x+b)y=\left(x+a\right)\left(x+b\right)

3.

If the "a" value of a quadratic is positive, what way will the parabola open?

a)

Up

b)

Down

c)

Left

d)

Right

4.

What direction will this parabola open?

y=3(x4)2+2y=-3\left(x-4\right)^2+2

a)

Up, because of the +2

b)

Down, because of the -3

c)

Left, because of the -4

d)

Right, because of the -4

5.

What represents the maximum or minimum (the highest or the lowest point) of a parabola?

a)

Axis of Symmetry

b)

Y-Intercept

c)

X-Coordinate

d)

Vertex

6.

What is the y-intercept of y=ax2+bx+cy=ax^2+bx+c

a)

(0,a)

b)

(0,c)

c)

x=(b)2(a)x=\frac{-\left(b\right)}{2\left(a\right)}

d)

Cannot be determined

7.

What is the range of this quadratic function?

a)

y3y\le3

b)

y3y\ge3

c)

x3x\le3

d)

All Real Numbers

8.

What is the domain of this quadratic function?

a)

y3y\le3

b)

y3y\ge3

c)

x3x\le3

d)

All Real Numbers

9.

Where is the function increasing?

a)

y <3

b)

x<-1

c)

y>3

d)

x>-1

10.

What is the vertex of the function y=4x2y=4x^2 . Write your answer as an ordered pair and do not include any spaces.

(a)  

11.

Over what interval does the function y=4x2y=4x^2 increase? Write your answer as an inequality. Do not include any spaces.

(a)  

12.

How do you find the axis of symmetry given the standard form of a quadratic equation?

a)

x=hx=h

b)

f((b)2(a))f\left(\frac{-\left(b\right)}{2\left(a\right)}\right)

c)

x=(b)2(a)x=\frac{-\left(b\right)}{2\left(a\right)}

d)

((b)2(a),f((b)2(a)))\left(\frac{-\left(b\right)}{2\left(a\right)},f\left(\frac{-\left(b\right)}{2\left(a\right)}\right)\right)

13.

What is the vertex of y=2(x4)2+1y=-2\left(x-4\right)^2+1

a)

(-4, -1)

b)

(4, 1)

c)

(8, 1)

d)

(-4, 1)

14.

Which equation represents a parabola that has been shifted

right 2 and up 3?

a)

y=(x2)23y=\left(x-2\right)^2-3

b)

y=(x+2)23y=\left(x+2\right)^2-3

c)

y=(x2)2+3y=\left(x-2\right)^2+3

d)

y=(x+2)2+3y=\left(x+2\right)^2+3

15.

What is the axis of symmetry:

y=2x2+12x7y=-2x^2+12x-7

a)

x = 3

b)

x = -2

c)

x = -7

d)

x = 12

16.

The axis of symmetry of the quadratic y=2x2+12x7y=-2x^2+12x-7 is x = 3.

What is the vertex?

a)

(3, -7)

b)

(-7, 3)

c)

(11, 3)

d)

(3, 11)

17.

What is the axis of symmetry:

y=(x+3)22y=-\left(x+3\right)^2-2

a)

x = -2

b)

x = 2

c)

x = 3

d)

x = -3

18.

What is the vertex:

y=5(x+1)2y=5\left(x+1\right)^2

a)

(5, 1)

b)

(5, -1)

c)

(-1, 0)

d)

(-1, 5)

19.

What is the equation for the quadratic parent function?

a)

y=ax2+bx+cy=ax^2+bx+c

b)

y=a(xh)2+ky=a\left(x-h\right)^2+k

c)

y=mx+by=mx+b

d)

y=x2y=x^2

20.

How does the width of the quadratic g(x)=12(x5)2+3g\left(x\right)=-\frac{1}{2}\left(x-5\right)^2+3 compare to the parent function?

a)

Wider

b)

Narrower

c)

Same

21.

How does the width of the quadratic g(x)=2x220x53g\left(x\right)=2x^2-20x-53 compare to the parent function?

a)

Wider

b)

Narrower

c)

Same

22.

Convert vertex form to standard form:

y=3(x+1)24y=3\left(x+1\right)^2-4

a)

y=3x21y=3x^2-1

b)

y=3x2+2x3y=3x^2+2x-3

c)

y=9x2+9x+5y=9x^2+9x+5

d)

y=3x2+6x1y=3x^2+6x-1

23.

A soccer ball is kicked. The path of the ball can be modeled by the equation y=16x2+64x+1y=-16x^2+64x+1 which is also graphed. What is the vertex?

a)

(-64, 1)

b)

x = 2

c)

(2, 65)

d)

65

24.

A soccer ball is kicked. The path of the ball can be modeled by the equation y=16x2+64x+1y=-16x^2+64x+1 which is also graphed.

Given the vertex is (2, 65) what is the highest the ball will reach?

a)

2 feet

b)

65 feet

c)

It will never stop getting higher

d)

63 feet