How do you graph $y = - \frac{1}{4} \sqrt{x}$ $y=-1/4sqrtx$ , compare it to the parent graph and what is the domain and range?

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How do you graph $y = - \frac{1}{4} \sqrt{x}$ $y=-1/4sqrtx$ , compare it to the parent graph and what is the domain and range?

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Answer 1 · 2017-11-01T02:13:15

$y$ $y$ is the standard graph of $f (x) = \sqrt{x}$ $f(x) = sqrtx$ scaled by $- \frac{1}{4}$ $-1/4$
Domain: $[0, + \infty)$ $[0, +oo)$ Range: $[0, - \infty)$ $[0, -oo)$

Explanation:

$y = - \frac{1}{4} \sqrt{x}$ $y =-1/4sqrtx$

$y$ $y$ is the standard graph of $f (x) = \sqrt{x}$ $f(x) = sqrtx$ scaled by $- \frac{1}{4}$ $-1/4$

We can see the graphs of $y$ $y$ (Lower) and $\sqrt{x}$ $sqrtx$ (Upper) below.

graph{(y+1/4sqrtx)(y-sqrtx)=0 [-3.84, 18.66, -5.535, 5.705]}

As can be deduced from the graph of $y$ $y$ above:

The domain of $y$ $y$ is $[0, + \infty)$ $[0, +oo)$

$y$ $y$ has no finite lower bound.

Hence, the range of $y$ $y$ is $[0, - \infty)$ $[0, -oo)$

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How do you graph $y = - \frac{1}{4} \sqrt{x}$ $y=-1/4sqrtx$ , compare it to the parent graph and what is the domain and range?

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Explanation:

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