Quadratic Transformations

Front

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

Back

Shifts the function left or right.

Front

How did we transform from the parent function to f(x) = (x + 3)²?

Back

Horizontal shift left 3.

Front

If f(x) = x², what is g(x) if it is transformed to g(x) = x² - 5?

Back

g(x) = x² - 5 is a vertical shift down 5.

Front

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

Back

Vertical stretch or compression.

Front

How did we transform from the parent function to f(x) = x² - 4?

Back

Vertical shift down 4.

Front

What is the parent function of a quadratic equation?

Back

f(x) = x².

Front

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

Back

It reflects the graph over the x-axis.

Front

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

Back

Shifts the function up or down.

Front

If f(x) = (x - 2)², how did we transform from the parent function?

Back

Horizontal shift right 2.

Front

What is the effect of changing 'a' to a value greater than 1 in f(x) = a(x - h)² + k?

Back

It vertically stretches the graph.