Solve and Graph Quadratic Functions

What are the
x-intercepts of the function
f(x)= (x - 2)(x + 3)?

• x = - 2 or x = 3

• x = 2 or x = -3

• The are no real roots

• x = 2 or x = 3

Tags

CCSS.HSF-IF.C.7C

Complete the square for
x² + 12x + ____

• x² + 12x + 144

• x² + 12x + 36

• x² + 12x - 36

• x² + +12x - 144

Tags

CCSS.HSA-REI.B.4B

Solve using the quadratic formula

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Tags

CCSS.HSA-REI.B.4B

Members of the math club launch a model rocket from ground level with an initial velocity of 96 ft/sec. This can be modeled with the function h(t) = -16t² + 96t. What is the range of the function?

• 0 ≤ y ≤ 145

• y ≤ 145

• 0 ≤ x ≤ 6

• All Reals

What are the x- intercepts?

• x= 0 and x= -4

• x= 0 and x= 4

• y= 0

• x= 2

Tags

CCSS.HSF-IF.C.7A

How many solutions does this graph have?

• one

• two

• no solutions

• cannot be determined

What does "a" control in a graph of f(x) = ax²+ bx+ c?

• Opens up or down

• Where the graph crosses at X-intercept

• Where the graph crosses at Y-intercept

What is the vertex of
f(x) = 2(x - 5)² + 12

• (-5, -12)

• (5,-12)

• (5, 12)

• (-5, 12)

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

• (-1, 4); opens up

• (-1, 4); opens down

• (1, 4); opens up

• (1, 4); opens down

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

• y = -2

• x = 3

• x = -3

• y = 2