Question

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

Answer 1

`y=(1)/(2)x^2-4\\\\zeros\ when\ y=0\\\\(1)/(2)x^2-4=0\\\\(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 2

x= 2.8 and x= -2.8

Explanation:

`y=(1)/(2)x^2-4`

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

`0=(1)/(2)x^2-4`

Add 4 on both sides

`4=(1)/(2)x^2`

Multiply by 2 on both sides

8= x^2

Now we take square root on both sides

x= +-
`√(8)`

x=2.82843 and x=-2.82843

x= 2.8 and x= -2.8