Transformation of Quadratic Functions

Front

What is the effect of a vertical stretch by a factor of 5 on the quadratic function?

Back

It makes the graph of the function narrower compared to the parent function.

Front

What is the parent function of a quadratic equation?

Back

The parent function is f(x) = x².

Front

What transformation does the equation f(x) = (x + 3)² - 10 represent compared to the parent function?

Back

Horizontal shift LEFT 3 units and vertical shift DOWN 10 units.

Front

What does a negative coefficient in front of a quadratic function indicate?

Back

It indicates a reflection over the x-axis.

Front

How does the equation f(x) = x² + 5 transform the parent function?

Back

It represents a vertical shift UP 5 units.

Front

What is the effect of a horizontal shift to the right in a quadratic function?

Back

It moves the graph to the right along the x-axis.

Front

What does the term 'vertex' refer to in a quadratic function?

Back

The vertex is the highest or lowest point of the parabola.

Front

What transformation does the equation f(x) = -(x - 2)² - 1 represent?

Back

Reflection over the x-axis, horizontal shift RIGHT 2 units, and vertical shift DOWN 1 unit.

Front

What is the significance of the value '5' in the equation f(x) = 5(x + 3)² - 10?

Back

It indicates a vertical stretch by a factor of 5.

Front

What does the term 'axis of symmetry' mean in relation to quadratic functions?

Back

It is a vertical line that divides the parabola into two mirror-image halves.