Stretch and Compress Quadratic Functions

Does the equation vertically stretch, compress, or reflect?

• Stretch by a factor of 2

• Compress by a factor of 0.75

• Reflect across the x-axis

• Both stretch by a factor of 2 and reflect across the x-axis

Does the equation vertically stretch, compress, or reflect?

• Stretch by a factor of 2

• Compress by a factor of 2

• Reflect across the y-axis

• Stretch by a factor of 5

• Reflect across the x-axis

• Both Stretch by a factor of 5 & Reflect across the x-axis

• Reflect across the x-axis

• Both Compress by a factor of 2 & Reflect across the x-axis

The graph of f(x) = x² was transformed to create the graph d(x) = 2x². Which of these describes the transformation from the graph of f(x) to the graph d(x)?

• 2 units up

• vertical stretch

• 2 units left

• vertical compression

The graph of f(x) = x² is shown on the grid. Write a statement about the relationship between the graph of f and the graph of g(x) = 7x². The graph has been ​ (a)   stretched by a factor of ​ (b)   .

• vertically

• 7

• horizontally

• -7

f(x) is transformed so that it maps onto g(x). Which equation would correctly represent g(x)?

The graph of f(x) = x² is shown on the grid. Write a statement about the relationship between the graph of f and the graph of g(x) = 7x². The graph has been ​ (a)   stretched by a factor of ​ (b)   .

• vertically

• 7

• horizontally

• -7

f(x) is transformed so that it maps onto g(x). Which equation would correctly represent g(x)

• g(x)=2f(x)

• g(x)=0.5f(x)

• g(x)=f(x) + 2

• g(x)=f(x + 2)

The graph shows the function f(x)=x² in blue and another function g(x) in red.  Which could be the equation for g(x)?

• g(x) = 2x²

• g(x) = 1/2x²

• g(x) = x² + 2

• g(x) = (x + 2)²