Warm Up Sep 17_Transformation of parent functions

Front

What is the transformation of y=x^2-9?

Back

down

Front

What does the term 'parent function' refer to in transformations?

Back

The simplest form of a function, from which other functions are derived by transformations.

Front

What is the effect of adding a constant to a function, such as y=x^2 + c?

Back

It shifts the graph vertically; if c is positive, it shifts up, if negative, it shifts down.

Front

What is the effect of subtracting a constant from a function, such as y=x^2 - c?

Back

It shifts the graph down by c units.

Front

What is the transformation of y=(x-3)^2?

Back

It shifts the graph of y=x^2 to the right by 3 units.

Front

What is the transformation of y=(x+2)^2?

Back

It shifts the graph of y=x^2 to the left by 2 units.

Front

What happens to the graph of y=x^2 when multiplied by a negative number, such as y=-x^2?

Back

It reflects the graph across the x-axis.

Front

What is the transformation of y=2x^2?

Back

It vertically stretches the graph of y=x^2 by a factor of 2.

Front

What is the transformation of y=0.5x^2?

Back

It vertically compresses the graph of y=x^2 by a factor of 0.5.

Front

What does the term 'horizontal shift' mean in function transformations?

Back

A movement of the graph left or right along the x-axis.