Quadratic Functions

Which transformation transforms the graph of
f(x) = x² to the graph of
g(x) = (x + 4)²?

• a vertical translation 4 units up
• a vertical translation 4 units down
• a horizontal translation 4 units to the left
• a horizontal translation 4 units to the right

Tags

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.2

CCSS.HSG.CO.A.5

How did we transform from f(x) =x²

to

g(x) = -3x²

• reflection in x-axis and vertical shift down

• reflection x-axis and widens

• horizontal stretch

• reflection x-axis and narrows

Match the description to its equation.
Moves right 7

• A
• B
• C
• D

Tags

CCSS.HSG.CO.A.2

Match the description to its equation:
moves down 3

• A
• B
• C
• D

Tags

CCSS.HSG.CO.A.2

In the equation f(x)=5(x+3)²-10 what does the 5 do?

• Causes it to narrow

• Causes it to widen

• Causes it to reflect over the x-axis

• Causes it to move up 5

Does the graph of this equation widen or narrow from the parent function?
g(x) = 3/4 (x - 5)² + 12

• widen
• neither
• narrow

Tags

CCSS.HSF.BF.B.3

CCSS.HSF.IF.C.7

Which quadratic function is represented by the graph?

• y = 2(x - 4)² + 5
• y = 2(x + 4)² + 5
• y = -2(x - 4)² + 5
• y = -2(x + 4)² + 5

If the blue graph is
f(x) = x² 
then the red must be...

• g(x) = x² - 5
• g(x) = x² + 5
• g(x) = (x - 5)²
• g(x) = (x + 5)²

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.B.4

CCSS.HSF.IF.C.7

Given the equation for this parabola:
 y=-(x-4)²-3,
does this parabola have a maximum or minimum value?

• Maximum
• Minimum

Tags

CCSS.HSF-IF.C.7A