Answer to Question #94649 in Algebra for Dalton Butler

Question

In the function y equals 4 x squared minus 5, what effect does the number -5 have on the graph has compared to the graphs of the the function y=x^2 ?

Answer 1

You have the following function: $f_{(x)}=4x^{2}-5$ .

The function with which it is compared is $g(x)=x^{2}$ .

Now, it is possible to write the original function

$f(x)=4g(x)-5$

Analyzing it is possible to establish several conclusions.

1. f (x) is enlarged by a magnitude of 4 applied to g (x);

2. f (x) suffers a downward vertical shift of 5.

Solution

$\boxed{\text{The -5 in the graph represents a downward vertical shift.}}$