Quadratic Transformations

Front

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

Back

The 'a' value causes a vertical stretch or compression of the parabola.

Front

How do we transform the parent function to get f(x) = (x + 6)² - 2?

Back

Horizontal shift left 6, vertical shift down 2.

Front

What effect does the coefficient 5 have in the equation f(x)=5(x+3)²-10?

Back

It causes a vertical stretch by a factor of 5.

Front

What transformations occur in g(x) = -1/5(x - 1)² + 7?

Back

Reflection, vertical compression, horizontal shift right, vertical shift up.

Front

What is the equation of the parabola that has moved 5 units to the left from the parent function?

Back

Front

What does a positive 'a' value indicate in a quadratic function?

Back

The parabola opens upwards.

Front

What does a negative 'a' value indicate in a quadratic function?

Back

The parabola opens downwards.

Front

In the vertex form f(x) = a(x - h)² + k, what do 'h' and 'k' represent?

Back

'h' represents the horizontal shift, and 'k' represents the vertical shift.

Front

How does changing 'h' affect the graph of the function?

Back

It shifts the graph left or right.

Front

How does changing 'k' affect the graph of the function?

Back

It shifts the graph up or down.