Linear and Quadratic Transformations Quiz

What is the parent function for the linear transformation discussed in the video?

• f(x) = x

• f(x) = -x

• f(x) = 2x

• f(x) = x^2

How does the negative coefficient in front of f(x) affect the graph?

• It shifts the graph upwards.

• It reflects the graph over the y-axis.

• It makes the graph steeper.

• It gives the graph a negative slope.

What is the new y-intercept after the transformation of the linear function?

• 1

• -3

• -1

• 0

What shape does a quadratic function typically have?

• A parabola

• An ellipse

• A straight line

• A circle

What is the parent function for the quadratic transformation discussed?

• y = x

• y = x^2

• y = 2x

• y = -x^2

How does a negative coefficient affect the quadratic graph?

• It shifts the graph downwards.

• It reflects the graph over the x-axis.

• It shifts the graph to the left.

• It makes the graph wider.

Which transformation moves the quadratic graph to the right?

• f(x) = x^2 - 2

• f(x) = x^2 + 2

• f(x) = (x - 2)^2

• f(x) = (x + 2)^2

What happens to the graph when you apply f(x) = -2f(x)?

• It shifts to the right.

• It becomes wider.

• It shifts upwards.

• It reflects over the x-axis and becomes narrower.

Which transformation results in the graph being translated downwards?

• f(x) = (x + 2)^2

• f(x) = x^2 - 2

• f(x) = x^2 + 2

• f(x) = (x - 2)^2

What is the effect of a transformation inside the parentheses on the graph?

• It affects the vertical stretch.

• It affects the horizontal shift.

• It affects the vertical shift.

• It affects the reflection over the y-axis.