Quadratic and Exponential Dilations and Reflections

What is the result of vertically dilating a quadratic function by a factor of 2?

• The graph is wider

• The graph is skinnier

• The y-values are multiplied by 4

• The graph is moved up 2 units

How does a reflection of a quadratic function affect its graph?

• A reflection of a quadratic function has no effect on its graph

• A reflection of a quadratic function results in a parabolic graph with a different vertex

• A reflection of a quadratic function can result in an upside-down graph or a mirror image on the opposite side of the x-axis.

• The resulting parabola opens to the left.

What happens to the graph of an exponential function when it is dilated by a scale factor greater than 1?

• The graph becomes flatter and wider.

• The graph becomes flatter and narrower.

• The graph becomes steeper and narrower.

• The graph becomes steeper and wider.

If a quadratic function is dilated by a scale factor of 3, what happens to its axis of symmetry?

• It flips horizontally.

• It shifts to the right by a factor of 3.

• It remains the same.

• It shifts to the left by a factor of 3.

Explain the transformation of an exponential function when it is reflected over the x-axis.

• The x-values of the exponential function are negated.

• The exponential function becomes a linear function.

• The y-values of the exponential function are squared.

• The y-values of the exponential function are negated.

Which equation is a quadratic function reflected over the x-axis and shifted up 2.

• y = x² + 2
• y = -x² + 2
• y = x² - 2
• y = -(x + 2)²

Match the equation to its description.

• Stretched by 2 and up 4
• Compressed by 2 and up 4
• Stretched by 2 and left 4
• Compressed by 2 and left 4

Match the equation to its description.

• Stretched by 4 and up 4
• Compressed by 4 and up 4
• Stretched by 4 and left 4
• Compressed by 4 and left 4

How did we transform from the parent function?
y = -1/2(x - 1)² + 3

• reflection, vertical compression, horizontal right, vertical up
• vertical compression, horizontal shift left, vertical shift up
• reflection, horizontal shift right, vertical shift down
• no changes were made to y = x²

How did we transform from y=x^2?
y = -3x²

• reflection and vertical shift down
• reflection and vertical stretch
• horizontal stretch
• reflection and vertical compression