Quiz about Graphing Vertex Form

Question 1

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

Accepted Answer

f(x) = -3(x - 2)² - 4

Answer

f(x) = -(x + 2)² - 4

Answer

f(x) = -(x - 2)² - 4

Answer

f(x) = -3(x + 2)² - 4

Question 2

Which equations matches the graph above?

Accepted Answer

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

Answer

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

Answer

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

Answer

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

Question 3

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

Choose the correct graph of the equation.

Accepted Answer

Option D is correct

Answer

A.

Answer

B.

Answer

C.

Question 4

Which equation matches the graphed above?

Accepted Answer

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

Answer

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

Answer

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

Answer

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

Question 5

Which equation matches the graph above?

Accepted Answer

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

Answer

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

Answer

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

Answer

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

Question 6

Which equation matches the graph?

Accepted Answer

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

Answer

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

Answer

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

Answer

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

Question 7

What piece of information does h identify in the following equation?
y=a(x-h)²+k

Accepted Answer

Axis of Symmetry

Answer

y value of the vertex

Answer

Direction (facing up or down)

Answer

x-intercept

Question 8

If given the equation y = 3(x + 5)² - 4, what is the vertex of the parabola?

Accepted Answer

(-5, -4)

Answer

(5, -4)

Answer

(-15, -4)

Answer

(15, -4)

Question 9

What is the vertex of the parabola: y=2(x-3)²+4

Accepted Answer

(3,4)

Answer

(-3,4)

Answer

(3, -4)

Answer

(-3,-4)

Question 10

What is the green dot on the parabola called?

Accepted Answer

maximum

Answer

minumum

Answer

roots

Answer

zeros

Question 11

The axis of symmetry line passes through which point?

Accepted Answer

vertex

Answer

y-intercept

Answer

any random point

Answer

symmetrical point for the vertex

Question 12

What is the green dashed line called?

Accepted Answer

axis of symmetry

Answer

roots or x-intercepts

Answer

parabola

Answer

line of dashes

Question 13

What are the green dots called?

Accepted Answer

roots or x-intercepts

Answer

axis of symmetry

Answer

vertex

Answer

parabola

Question 14

Which variable, when negative, can cause the parent function to reflect across the x-axis (face downwards)?

Accepted Answer

a

Answer

h

Answer

k

Question 15

Given the equation for this parabola: y=-(x-4)²-3, does this parabola have a maximum or minimum value?

Accepted Answer

Maximum

Answer

Minimum

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