Quadratic Functions

What is the vertex of the quadratic function: y=1/2(x-3)²+8?

• (3,8)
• (-3,-8)
• (-3,8)
• (3,-8)

Tags

CCSS.HSF.IF.C.7

CCSS.HSF.IF.B.4

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

Tags

CCSS.HSF.IF.C.7

CCSS.HSF.IF.B.4

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

• (-5, -12)
• (5,-12)
• (5, 12)
• (-5, 12)

Tags

CCSS.HSF.IF.C.7

CCSS.HSF.IF.B.4

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

Tags

CCSS.HSF.IF.C.7

CCSS.HSF.IF.B.4

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)

Tags

CCSS.HSF.IF.C.7

CCSS.HSF.IF.B.4

What is the vertical shift of this equation?
y = -(x + 3)² - 5

• up 3 
• down 3
• up 5
• down 5

Tags

CCSS.HSF.BF.B.3

What is the horizontal shift of this equation?
y = -(x + 3)² - 5

• left 3
• right 3
• left 5
• right 5

Tags

CCSS.HSF.IF.C.7

CCSS.HSF.BF.B.3

The graph of which equation would translate the parent function up 2 and to the left 4?

• y = (x - 4)² + 2
•  y = (x + 4)² + 2
• y = (x + 4)² - 2
• y = (x - 4)² - 2

Tags

CCSS.HSF.IF.C.7

CCSS.HSF.BF.B.3

Does
y = -4x²
have a maximum or minimum value?

• maximum
• minimum

Tags

CCSS.HSF.IF.C.7

CCSS.HSF.IF.B.4

CCSS.HSA.REI.B.4

In the equation y = a(x - h)² + k how does "a" change the graph?

• Moves it up or down
• Moves it left or right
• Makes it thinner or wider
• Flips it

Tags

CCSS.HSF.BF.B.3