1 answer

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

Question:

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

Answers

see graph.

Domain of both functions is #[0,oo)#

Range of both functions is #[0,oo)#

Explanation:

#y=asqrt(bx -c) + d#

a = vertical stretch

so your equation: #y=7sqrtx#

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

so your graph will be the parent #f(x) = sqrtx# stretched vertically by a factor of 7

Domain of both functions is #[0,oo)#

Range of both functions is #[0,oo)#

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]}

.

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