Transformations of Quadratic Functions

Front

What is the parent function of a quadratic equation?

Back

f(x)=x²

Front

What is the vertex of the function (x+4)²-5?

Back

(-4, -5)

Front

Which function shows a parent function of a quadratic equation moved 1 unit down?

Back

f(x)=x²-1

Front

Describe the transformation of f(x) when compared to the parent function: f(x)=x²+5.

Back

vertical shift up 5 units

Front

In the equation f(x)=5(x+3)²-10, what effect does the 5 have compared to the parent function?

Back

Shrinks narrower

Front

What is the general form of a quadratic function?

Back

f(x)=ax²+bx+c

Front

What does the 'a' in the quadratic function f(x)=a(x-h)²+k represent?

Back

The vertical stretch or compression factor.

Front

What is the effect of a negative 'a' value in a quadratic function?

Back

It reflects the graph across the x-axis.

Front

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

Back

It represents a horizontal shift to the right by h units.

Front

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

Back

It represents a vertical shift up or down by k units.