# How do you graph y=7sqrtx, compare it to the parent graph and what is the domain and range?

May 19, 2018

see graph.

Domain of both functions is $\left[0 , \infty\right)$

Range of both functions is $\left[0 , \infty\right)$

#### Explanation:

$y = a \sqrt{b x - c} + d$

a = vertical stretch

so your equation: $y = 7 \sqrt{x}$

a = 7
b = 1
c = 0
d = 0

so your graph will be the parent $f \left(x\right) = \sqrt{x}$ stretched vertically by a factor of 7

Domain of both functions is $\left[0 , \infty\right)$

Range of both functions is $\left[0 , \infty\right)$

here is the parent graph:

graph{sqrtx [-10, 10, -5, 5]}

And here is yours:

graph{7sqrtx [-9.96, 10.04, -0.52, 9.48]}