Free Printable TEST TRANSFORMING PARABOLAS

1.

Graph the function

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

a)

b)

c)

d)

2.

Write the equation of the parabola in vertex form.

a)

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

b)

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

c)

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

d)

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

3.

Write the equation of the parabola in vertex form.

a)

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

b)

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

c)

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

d)

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

4.

Write the function in vertex form.

y=x^2-4x+6

a)

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

b)

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

c)

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

d)

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

5.

Write the function in vertex form.

y=-2x^2+8x+3

a)

$y=2\left(x+2\right)^2+11$

b)

$y=-2\left(x-2\right)^2-11$

c)

$y=-2\left(x-11\right)^2+2$

d)

$y=-2\left(x-2\right)^2+11$

6.

Which function below matches the graph above?

a)

$f\left(x\right)=-\left(x+3\right)^2-5$

b)

$f\left(x\right)=\left(x-3\right)^2-5$

c)

$f\left(x\right)=\left(x+3\right)^2-5$

d)

$f\left(x\right)=\left(x+5\right)^2-3$

7.

Which function below matches the graph above?

a)

$f\left(x\right)=-\left(x-3\right)^2+4$

b)

$f\left(x\right)=\left(x-4\right)^2+3$

c)

$f\left(x\right)=\left(x-3\right)^2+4$

d)

$f\left(x\right)=-\left(x-4\right)^2+3$

8.

Given: y = (x - 5)² + 6, the vertex is

a)

(2,-5)

b)

(-5,6)

c)

(2,6)

d)

(5,6)

9.

In the equation f(x)=(x-10)²+1, what does the 10 do to the parabola?

a)

Horizontal Shift left 10

b)

Vertical Shift up 10

c)

Horizontal Shift right 10

d)

Vertical Shift down 10

10.

In the equation f(x) = (x + 3)² - 5, how does the graph move?

a)

3 left, 5 up

b)

3 up, 5 left

c)

3 left, 5 down

d)

3 down, 5 right

11.

How does the graph move in the equation

$y=\left(x-5\right)^2+19$

a)

5 units right and 19 units up

b)

5 units left and 19 units up

c)

5 units right and 19 units down

d)

5 units left and 19 units down

12.

How does the graph move in the equation

y=\left(x-5\right)^2-13

a)

5 units left and 13 units up.

b)

5 units right and 13 units up.

c)

5 units left and 13 units down.

d)

5 units right and 13 units down.

13.

Write $y=\frac{2}{3}x^2+6x+9$ in vertex form.

a)

$y=\frac{2}{3}\left(x+\frac{9}{2}\right)^2-\frac{9}{2}$

b)

$y=1.\overline{3}\left(x-1.5\right)^2-4.5$

c)

$y=\frac{2}{3}\left(x+\frac{3}{2}\right)^2+\frac{5}{2}$

d)

$y=\frac{2}{3}\left(x+\frac{3}{2}\right)^2-\frac{9}{2}$

14.

Write $y=5x^2-30x+9$ in vertex form.

a)

$y=\left(x+3\right)^2-36$

b)

$y=5\left(x-36\right)^2-3$

c)

$y=5\left(x+3\right)^2+36$

d)

$y=5\left(x-3\right)^2-36$

15.

Write in standard form $y=\frac{1}{4}\left(x-2\right)^2+5$

a)

$y=\frac{1}{4}x^2+4x-6$

b)

$y=\frac{1}{4}x^2-x+6$

c)

$y=\frac{1}{4}x^2-9x+4$

d)

$y=\frac{1}{4}x^2-3x+8$

16.

Write $y=-7\left(2x-3\right)^2+1$ in standard form.

a)

$y=-7x^2+84x-62$

b)

$y=-7x^2-84x+62$

c)

$y=-28x^2+84x+64$

d)

$y=-28x^2+84x-62$

TEST TRANSFORMING PARABOLAS

Total questions: 16

Worksheet time: 4hrs 0mins

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