Quiz about Graphing Vertex Form Quadratics

Question 1

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 2

A parabola has a vertex at (-3,2). Where is the axis of symmetry?

Accepted Answer

x = -3

Answer

y = -2

Answer

x = 3

Answer

y = 2

Question 3

Which equation is graphed above?

Accepted Answer

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

Answer

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

Answer

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

Answer

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

Question 4

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

Choose the correct graph of the equation.

Accepted Answer

Option D is correct

Answer

A.

Answer

B.

Answer

C.

Question 5

A parabola is upside-down when a is:

Accepted Answer

negative

Answer

positive

Answer

0

Answer

infinite

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

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 8

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 9

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 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

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 14

What are the green dots called?

Accepted Answer

roots or x-intercepts

Answer

axis of symmetry

Answer

vertex

Answer

parabola

Question 15

Given: 1/2(x + 4)² - 5, the equation of the axis of symmetry is

Accepted Answer

x = -4

Answer

y = 4

Answer

x = 4

Answer

x = -5

Graphing Vertex Form Quadratics

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