Chapter D, Problem 1E

Concept Check Fill in the blank(s) to correctly complete each sentence.

To graph the function f(x) = x² – 3, shift the graph of y = x² down ___ units.

To determine

To fill: The blank in the statement, “To graph the function $f\left(x\right)=x^2-3$, shift the graph of $y=x^2$ down ___ units.”

Answer to Problem 1E

Solution: To graph the function $f\left(x\right)=x^2-3$, shift the graph of $y=x^2$ down 3 units.”

Explanation of Solution

Consider the function:

$y=x^2-3$

And,

$y=x^2$

The graphs are shown below:

Hence, by the above graph, the function $f\left(x\right)=x^2-3$ shifts the graph of $y=x^2$ down 3 units.