Transformation of graphs HW

Front

What is the effect of the equation y = f(x - 4) on the graph of the parent function?

Back

Shift right by 4.

Front

Which equation represents a quadratic function reflected over the x-axis and shifted up 2?

Back

y = -x² + 2.

Front

If f(x) = x², which equation could represent a graph that is vertically stretched?

Back

g(x) = 2x².

Front

What transformation causes the graph of y = x² to open downward?

Back

Multiply the x² by a negative number.

Front

Which function does NOT represent a horizontal shift of f(x) = x²?

Back

g(x) = x² + 3.

Front

What is a vertical shift in graph transformations?

Back

A vertical shift moves the graph up or down without changing its shape.

Front

How does the equation y = (x + 3)² affect the graph of y = x²?

Back

It shifts the graph left by 3 units.

Front

What is the effect of multiplying a quadratic function by a number greater than 1?

Back

It vertically stretches the graph.

Front

What does the equation y = -(x - 1)² + 3 represent?

Back

A quadratic function reflected over the x-axis, shifted right by 1 and up by 3.

Front

What is the parent function of a quadratic equation?

Back

y = x².