Transformations on Graphs

Which function has a translation of 2 units right and a vertical stretch by a factor of 5?

• f(x)= 5(x - 2)²

• f(x) = 5(x + 2)²

• f(x) = (x - 2)² - 5

• f(x) = (x + 2)² + 5

If the blue is f(x)=x^2, 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)

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

• multiply the x² by a fraction

• multiply the x² by a decimal

• multiply the x² by a negative number

• multiply the x² by a number greater than 1

Describe the transformation

• left 2 up 5

• right 2 up 5

• left 2 down 5

• right 2 down 5

• horizontal trans left 15, vertical trans down 10
• horizontal trans right 15, vertical trans down 10
• horizontal trans right 15, vertical trans up 10
• horizontal trans left 15, vertical trans up 10

• A

• B

• C

• D

The original graph is f(x). The new graph is up 5, left 3, and reflected across the x-axis.

• f(x + 3) + 5

• -f(x - 3) + 5

• -f(x + 3) + 5

• -f(x + 5) + 3

• Horizontal translation right 2; Vertical translation down 12
• Horizontal translation right 2; Vertical translation down 4
• Horizontal translation left 2; vertical translation down 12
• Horizontal translation left 2; vertical translation down 4

• Horizontal translation left 16
• Horizontal translation right 16
• Vertical translation down 16
• Vertical translation up 16