vinnycent1
Answered

Ryker is given the graph of the function

y= 1/2x^2 - 4 . He wants to find the zeros of the function but is unable to read them exactly from the graph. Find the zeros give answer to nearest tenth

Verified Answer :

\(y=\frac{1}{2}x^2-4\\\\zeros\ when\ y=0\\\\\frac{1}{2}x^2-4=0\\\\\frac{1}{2}x^2=4\ \ \ \ /\cdot2\\\\x^2=8\\\\x=-\sqrt8\ and\ x=\sqrt8\\\\\underline{\underline{x\approx-2.8\ and\ x\approx2.8}}\)

Answer:

x= 2.8   and x= -2.8

Step-by-step explanation:

\(y=\frac{1}{2}x^2-4\)

To find out the zeros, we replace x y with 0 and solve for x

\(0=\frac{1}{2}x^2-4\)

Add 4 on both sides

\(4=\frac{1}{2}x^2\)

Multiply by 2 on both sides

8= x^2

Now we take square root on both sides

x= +- \(\sqrt{8}\)

x=2.82843 and x=-2.82843

x= 2.8   and x= -2.8

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