2.1 Transformations of Quadratic Functions

Front

What is the parent function of quadratic functions?

Back

The parent function of quadratic functions is y = x².

Front

How does the graph of y = 0.3x² compare to the graph of y = x²?

Back

The graph of y = 0.3x² is wider than the graph of y = x².

Front

How does the graph of y = 5x² compare to the graph of y = x²?

Back

The graph of y = 5x² is narrower than the graph of y = x².

Front

What transformation does the equation y = -f(x) represent?

Back

The equation y = -f(x) represents a reflection over the x-axis.

Front

What does the transformation y = f(x - 2) do to the graph of y = f(x)?

Back

The transformation y = f(x - 2) shifts the graph to the right by 2 units.

Front

What does the transformation y = f(x) + 3 do to the graph of y = f(x)?

Back

The transformation y = f(x) + 3 shifts the graph up by 3 units.

Front

What does the transformation y = f(x) - 4 do to the graph of y = f(x)?

Back

The transformation y = f(x) - 4 shifts the graph down by 4 units.

Front

What is the effect of a horizontal stretch by a factor of 5 on the function y = f(x)?

Back

A horizontal stretch by a factor of 5 transforms the function to y = f(1/5x).

Front

What does the transformation y = f(-x) represent?

Back

The transformation y = f(-x) represents a reflection over the y-axis.

Front

If a quadratic function is in the form h = -5(t - 2)², what does the vertex represent?

Back

The vertex represents the maximum height of the ball, which occurs at t = 2.