Quadratic Transformations Practice

Front

What is the parent function of a quadratic equation?

Back

The parent function of a quadratic equation is f(x) = x².

Front

How does the 'k' value in the vertex form f(x) = a(x - h)² + k affect the graph?

Back

The 'k' value shifts the function up or down by 'k' units.

Front

What effect does a negative 'a' value have in the vertex form f(x) = a(x - h)² + k?

Back

A negative 'a' value reflects the graph over the x-axis.

Front

What transformation occurs when the equation f(x) = (x - 2)² is applied to the parent function?

Back

The graph shifts 2 units to the right.

Front

In the equation f(x) = x² + 5, how does the '+5' affect the graph?

Back

The graph shifts vertically up 5 units.

Front

What does the term 'vertical stretch' mean in the context of quadratic functions?

Back

Vertical stretch occurs when the 'a' value in f(x) = a(x - h)² + k is greater than 1, making the graph narrower.

Front

If f(x) = 2(x + 1)², what transformation is applied to the parent function?

Back

The graph shifts 1 unit to the left and is vertically stretched by a factor of 2.

Front

What is the effect of changing the 'h' value in the vertex form f(x) = a(x - h)² + k?

Back

Changing the 'h' value shifts the function left or right.

Front

How do you represent a vertical shift down in a quadratic function?

Back

A vertical shift down is represented by subtracting a value from the function, e.g., f(x) = x² - 3 shifts down 3 units.

Front

What transformation does the equation f(x) = (x + 4)² represent?

Back

The graph shifts 4 units to the left.