Quiz about Graphing Quadratics in All Forms

Question 1

Does the graph of
-2(x + 5) + 2
have a minimum or a maximum?

Accepted Answer

Maximum

Answer

Minimum

Answer

It has neither.

Answer

It has both.

Question 2

y = ax²+ bx + c is

Accepted Answer

a quadratic equation in standard form.

Answer

a quadratic equation in vertex form

Answer

a linear equation in vertex form.

Answer

a linear equation in standard form.

Question 3

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

Accepted Answer

(5,6)

Answer

(2,-5)

Answer

(-5,6)

Answer

(2,6)

Question 4

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

Accepted Answer

x = -4

Answer

y = 4

Answer

x = 4

Answer

x = -5

Question 5

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 6

When x² is changed to x² -3, the graph

Accepted Answer

Shifts down 3 units.

Answer

Shifts left 3 units.

Answer

Shifts right 3 units

Answer

shifts up 3 units.

Question 7

What is the green dot on the parabola called?

Accepted Answer

maximum

Answer

minumum

Answer

roots

Answer

zeros

Question 8

A parabola is upside-down when a is:

Accepted Answer

negative

Answer

positive

Answer

0

Answer

infinite

Question 9

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 10

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

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 equation of this graph?

Accepted Answer

f(x) = (x - 1)² - 5

Answer

f(x) = (x -5)² + 1

Answer

f(x) = (x + 1)² - 5

Answer

f(x) = (x + 5)² +1

Question 13

Identify the vertex and whether the graph opens up or down.

Accepted Answer

(-5, 2); opens up

Answer

(5, 2); opens up

Answer

(5, 2); opens down

Answer

(-5, 2); opens down

Question 14

What is the green dashed line called?

Accepted Answer

axis of symmetry

Answer

roots or x-intercepts

Answer

parabola

Answer

line of dashes

Question 15

The graph of a quadratic function is called a

Accepted Answer

Parabola

Answer

Vertex

Answer

Axis of Symmetry

Answer

Vertex Form

Question 16

What causes the graph of y = x² to open downward?

Accepted Answer

multiply the x² by a negative number

Answer

multiply the x² by a fraction

Answer

multiply the x² by a decimal

Answer

multiply the x² by a number greater than 1

Question 17

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 18

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

Accepted Answer

f(x) = (x + 2)² - 1

Answer

f(x) = (x - 2)² - 1

Answer

f(x) = -(x + 2)² - 1

Answer

f(x) = -(x - 2)² - 1

Graphing Quadratics in All Forms

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