Complete the following statements The graph of y=x^2+5 can be obtained from the graph y=x^2 by shifting the graph of y=x^2 __. The graph of y= 10x^2 can be obtained from the gra…

Question

asked Oct 14, 2020 143k views

1 Answer

York Chen · Answer 1 · 2020-10-18T04:58:06+0000

ANSWER

See explanation.

Step-by-step explanation

The given expression is

$y = {x}^(2) + 5$

The parent function is

$y = {x}^(2)$

We can see that the transformation is of the form:

$y = {x}^(2) + k$

This is a vertical upward shift of the parent function by k units.

The graph of y=x^2+5 can be obtained from the graph y=x^2 by shifting the graph of y=x^2 up by 5 units.

b) The graph of y= 10x^2 can be obtained from the graph y=x^2 by stretching vertically the graph of y=x^2 by a factor of 10.