Free Printable Quadratics Lesson 3 Review Quiz

1.

If given the equation

y\ =\ 3\left(x+5\right)^2\ -4

what is the vertex of the parabola?

a)

(5, -4)

b)

(-5, -4)

c)

(-5, 4)

d)

(5, 4)

2.

What is the axis of symmetry for the following quadratic function:

f\left(x\right)=\frac{1}{2}\left(x\ -\ 4\right)^2\ +\ 3

a)

x = 4

b)

x = -4

c)

x = 3

d)

y = 4

e)

y = 3

3.

What is the vertex of the parabola? $y\ =\ 2\left(x\ -\ 3\right)^2\ +\ 4$

a)

(2, 4)

b)

( 3, 4)

c)

(-3 4)

d)

(2, -3)

e)

(-6, 4)

4.

Which of the following is the correct equation for the given graph?

a)

f(x) = (x - 2)² - 1

b)

f(x) = (x + 2)² - 1

c)

f(x) = -(x + 2)² - 1

d)

f(x) = -(x - 2)² - 1

5.

$f\left(x\right)=x^2+3$

What is the domain of the function ?

a)

$\left(-\infty,\ \infty\right)$

b)

x > 3

c)

x < 3

d)

$x\ge3$

6.

Which equation is graphed above?

a)

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

b)

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

c)

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

d)

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

7.

Which equations matches the graph above?

a)

$h\left(x\right)=\left(x+1\right)^2-4$

b)

$h\left(x\right)=-\left(x+1\right)^2-4$

c)

$h\left(x\right)\ =\ \left(x+4\right)^2-1$

d)

$h\left(x\right)=-\left(x+4\right)^2-1$

8.

$f\left(x\right)=-\left(x-4\right)^2+1$

Choose the correct graph of the equation.

a)

b)

c)

d)

9.

Which equation matches the graphed above

a)

$p\left(x\right)=\left(x-1\right)^2+4$

b)

$p\left(x\right)=\left(x-4\right)^2+1$

c)

$p\left(x\right)=-\left(x+1\right)^2-4$

d)

$p\left(x\right)=-\left(x+4\right)^2-1$

10.

$f\left(x\right)=-2\left(x-5\right)^2+6$

Which way does the equation graph open?

a)

upward, concave up

b)

downward, concave down

11.

$y=x^2-7$

Explain the translation:

a)

shifts the graph left 7

b)

shifts the graph down 7

c)

shifts the graph up 7

d)

shifts the graph right 7

12.

$y=\left(x+9\right)^2+5$

Explain the translation:

a)

shifts the graph right 9, up 5

b)

shifts the graph left 9, down 5

c)

shifts the graph up 9, right 5

d)

shifts the graph left 9, up 5

e)

shifts the graph right 9, up 5

13.

When did the ball reach its maximum height? Choose the key feature and the answer.

a)

y-intercept, 3 secs

b)

x-value of the vertex, 4 secs

c)

y-value of the vertex, 5 secs

d)

y-intercept, 0 secs

14.

How high was the ball when it was thrown? Choose the key feature and the answer.

a)

y-intercept, 0 feet

b)

y-intercept, 3 feet

c)

x-value of the vertex, 4

d)

y-value of the vertex 5

15.

What was the height of the ball at 1 second?

a)

3 feet

b)

5 feet

c)

4 feet

d)

0 feet

16.

When did the water reach its maximum height? Choose the key feature and the answer.

a)

x-value of vertex, 2 seconds

b)

y-value of vertex, 9 seconds

c)

y-intercept, 0 seconds

d)

x-intercept, 3.8 seconds

17.

Approximately how long did it take the water from the fountain to hit the pool below?

a)

about 1.85 second

b)

about 2.85 seconds

c)

about 3.85 seconds

d)

about 4.85 seconds

18.

The solutions of the quadratic equation

x²+2x-15=0 are

a)

x = 3 or x = 5

b)

x = 5 or x = -3

c)

x = -5 or x = 3

d)

x = -3 or x = -5

19.

The solutions of the quadratic equation

x²+12x+35=0 are

a)

x = -5 or x = -7

b)

x = 5 or x = 7

c)

x = -35 or x = -1

d)

x = -9 or x = -4

20.

Solve

2x² + 7x - 15 = 0

a)

-1.5 or 5

b)

No real solution

c)

-5 or 1.5

d)

0.7 or 5

21.

Solve for x. Round to the nearest hundredth if necessary.

2x² = -x + 3

a)

x = -1, 1.5

b)

x = 1.5, -1

c)

x = 1, 1.5

d)

x = 1, 1.5

22.

Convert the equation y= x²-2x-5 into vertex form.

a)

y= (x-1)²-6

b)

y= -(x-1)²-6

c)

y= (x+1)²-6

d)

y= -(x+6)²-1

23.

Which of the following shows

f(x) = x² + 12x - 2

written in vertex form?

a)

f(x) = (x + 6)² + 142

b)

f(x) = (x + 6)² - 34

c)

f(x) = (x + 6)² - 38

d)

(x) = (x + 6)² + 34

24.

Convert the equation y= x²+4x into vertex form.

a)

y= (x+4)²-4

b)

y= (x-2)²+4

c)

y= (x+2)²-4

d)

y= (x-2)²+4

25.

Which of the following shows

f(x) = x² - 8x + 1

written in vertex form?

a)

f(x) = (x - 4)² - 15

b)

f(x) = (x - 4)² + 17

c)

f(x) = (x - 4)² - 17

d)

f(x) = (x - 4)² + 65

Quadratics Lesson 3 Review Quiz

Total questions: 25

Worksheet time: 13mins

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