Transformation Quadratics

How does the graph of f(x)=1/2(x+9)²-1 compare to the graph of the parent function?

• Reflected down, narrower,  horizontal shift left 9, vertical shift down 1
• Wider, horizontal shift left 9, vertical shift down 1
• Wider, horizontal shift right 9, vertical shift down 1
• Narrower, horizontal shift left 9, vertical shift down 1

Compared to the parent function, what effect does the 5 have in  f(x)=5(x+3)²-10 ?

• Narrower
• Reflect and narrower
• Reflect and wider
• Wider

What causes the graph of y = x² to open downward?

• multiply the x² by a value less than 1
• multiply the x² by a decimal
• multiply the x² by a negative number
• multiply the x² by a number greater than 1

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

• g(x) = (x + 3)²
• g(x) = (x - 3)²
• g(x) = x² + 3
• g(x) = x² - 2

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

How does changing the value of "h" transform a graph?

• Horizontal Shift (left/right) 
• Vertical Shift (up/down)
• Changes the width
• Reflects over the x-axis

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

How does the graph of the equation compare to the graph of the parent function?

• Reflected over the x-axis and translated up 4
• Reflected over the x-axis and translated down 4
• Reflected over the x-axis and translated right 4 
• Reflected over the x-axis and translated left 4

The graph of which equation would be a reflection of the parent function and make it wider?

•       y = -1/2x²
•        y = 1/3x² 
•       y = - 5/2x²
•        y = -x²

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