Free Printable Algebra II Midterm Exam

1.

What is the parent function of a quadratic?

a)

$y=x$

b)

$y=x^2$

c)

$y=\sqrt{x}$

d)

$y=\left|x\right|$

2.

Which transformation transforms the graph of

f(x) = x² to the graph of g(x) = (x + 4)²?

a)

shift 4 units up

b)

shift 4 units down

c)

shift 4 units to the left

d)

shift 4 units to the right

3.

How did we transform from y=x²to

y = -3x²

a)

reflection in x-axis and shifts down

b)

reflection x-axis and narrower

c)

wider

d)

reflection x-axis and wider

4.

If the blue graph is
f(x) = x²the red must be...

a)

g(x) = (x + 3)²

b)

g(x) = (x - 3)²

c)

g(x) = x²+ 3

d)

g(x) = x²- 2

5.

Does the graph of this equation widen or narrow from the parent function?
y= 5(x - 5)² + 3

a)

widen

b)

narrow

c)

neither

6.

What are the transformations?

y=(x-2)²+4 (Choose ALL that apply.)

a)

shift right 2

b)

shift left 2

c)

shift up 4

d)

shift down 4

7.

What is the vertex for
f(x)=4(x-2)² + 3

a)

(-2, 3)

b)

(2,-3)

c)

(4,3)

d)

(2,3)

8.

What is the axis of symmetry for
f(x)=4(x-2)² + 3

a)

4

b)

2

c)

x = -2

d)

x = 2

9.

Which equation in vertex form matches the quadratic graph?

a)

$y=\left(x+1\right)^2+3$

b)

$y=\left(x+3\right)^2+1$

c)

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

d)

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

10.

Find the vertex of

f(x) = -x²- 4x + 12

a)

(-2, 16)

b)

(2, 0)

c)

(2, 4)

d)

(-2, 4)

11.

Which formula allows you to find the x-value of the vertex from a standard form equation?

a)

$x=-\frac{b}{2a}$

b)

$x=\frac{\left(p+q\right)}{2}$

c)

$x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}$

d)

$x=h$

12.

The axis of symmetry for a vertical parabola always matches...

a)

the y-intercept

b)

the y-value of the vertex

c)

the x-value of the vertex

d)

the x-intercepts

13.

Which equation matches the graph?

a)

$y=2x^2+8x-5$

b)

$y=2x^2-8x-5$

c)

$y=-2x^2+8x-5$

d)

$y=2x^2+8x+5$

14.

What is the y-intercept?
f(x) = -2x² + 4x - 6

a)

(0, 6)

b)

(0, -6)

c)

(6, 0)

d)

(-6, 0)

15.

If a is negative in the function, which way does the parabola

a)

up

b)

down

c)

left

d)

right

16.

Identify A, B, and C if y=3x²-8+5x

a)

A=3, B=5, C=-8

b)

A=3, B=-8, C=5

c)

A=3x², B=5x, C=-8

d)

A=3x² , B=-8, C=5x

17.

If we have the equation y=ax²+bx+c, how can we can find the x-coordinate of the vertex?

a)

-a

b)

-b/a

c)

b/2a

d)

-b/2a

18.

Which of the following forms are best to use if we want to identify the vertex of a quadratic equation?

a)

Standard Form

b)

Vertex Form

c)

Intercept Form

19.

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

20.

Solve: 5x + 15 = 10x - 40

a)

x = 10

b)

x = -10

c)

x = 11

d)

x = -11

21.

4k + 24 = 6k -10

a)

k = 17

b)

k =-17

c)

k= 5

d)

k = 1/5

22.

11z - 5 = 9z + 7

a)

z= 6

b)

z = -6

c)

z = 1/6

d)

z =-1/6

23.

4 - 7f = f - 12

a)

f = 2

b)

f = -2

c)

f= 1/2

d)

f = -1/2

24.

If a system of equations has no solution, what does the graph look like?

a)

intersecting lines

b)

parallel lines

c)

skew lines

d)

intersecting lines

25.

What is the solution to this system of equations?

a)

Infinite Solutions

b)

One Solution

c)

No Solution

d)

(0, 0)

Algebra II Midterm Exam

Total questions: 25

Worksheet time: 2hrs 27mins

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