Transformations on Graph

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

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

Which of the following is the correct equation for the given graph?

• f(x) = (x - 2)² - 1

• f(x) = (x + 2)² - 1

• f(x) = -(x + 2)² - 1

• f(x) = -(x - 2)² - 1

Using the equation describe the parabola. 

• wide and fat, right by 2, up 3

• wide and fat, left by 2, up 3

• tall and skinny, right by 2, up 3

• tall and skinny, left by 2, up 3

• 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

• 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

Pick the correct answer.

• F

• G

• H

• J

f(x) is graphed in purple. Which equation most closely matches g(x), the graph in orange?

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Which function has a translation of 3 units to the left?

• f(x) = 3x²+1

• f(x) = (x + 3)² + 1

• f(x) = (x - 3) + 1

• f(x) = (x + 1)²- 3

Which function has a translation of 7 units down and reflects over the x-axis?

• f(x) = -(x - 7)² + 1

• f(x) = (x + 7)² + 1

• f(x) = -(x - 1)² - 7

• f(x) = (x + 1)² - 7