Quadratic Transformations REVIEW

The graph of the function f(x) = x² is the parent function.  How is the graph changed when f(x) + 7?

• Shifted up 7 units
• Shifted down 7 units
• Shifted to the right 7 units
• Shifted to the left 7 units

What is the quadratic parent function?

• y = x
• y = x²
• y = ab^x
• y = 1/x

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

Tags

CCSS.HSF-IF.C.7A

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

Which equation has a vertex of (-3, 4)?

• y = 2(x+3)² + 4
• y = (x+3)² - 4
• y = (x-3)² + 4
• y = 2(x - 3)² + 4

Does this graph have a maximum or minimum value?

• maximum
• minimum
• neither
• both

Tags

CCSS.HSF-IF.C.7A

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)

What is the horizontal shift of this equation?
f(x) = 3/4 (x - 5)² + 12

• up 5
• down 5
• left 5
• right 5

Does the graph of this equation open up or down? 
f(x) = -(x + 3)² - 5

• up
• down

Tags

CCSS.HSF-IF.C.7A

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

• Stretch by 5

• Horizontal compress by 5

• Reflect

• Move up 5