Quadratic Functions

In the equation

y = x² +5x +7, match each leading coefficient with its correct letter

• a=0, b=5, c=7

• a=1, b=5, c=7

• a=7, b=5, c=1

True or false:
The solutions, roots, x-intercepts, and zeros of a quadratic equation are all the same thing.

• True
• False, because the solution and root are the same but the x-intercept and zero are different
• False, because the x-intercept and root are the same but the zero and solution are different
• False, they are all different

A parabola is upside-down when a is:

• negative
• positive
• 0
• infinite

What are the x- intercepts?

• x= 0 and x= -4

• x= 0 and x= 4

• y= 0

• x= 2

Does this parabola have a minimum or maximum and what is its value?

• minimum: 2

• maximum: 2

• minimum: 5

• maximum: 5

When x² is changed to x² -3, the graph

• Shifts left 3 units.
• Shifts right 3 units
• shifts up 3 units.
• Shifts down 3 units.

If given the equation

y = 3(x + 5)² - 4,

what is the vertex of the parabola?

• (5, -4)

• (-5, -4)

• (-15, -4)

• (15, -4)

The axis of symmetry line passes through which point?

• y-intercept

• any random point

• vertex

• symmetrical point for the vertex

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

• (5, 2); opens up

• (5, 2); opens down

• (-5, 2); opens up

• (-5, 2); opens down

The graph of a quadratic function is called a

• Parabola
• Vertex
• Axis of Symmetry 
• Vertex Form