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The equation and graph of a polynomial are shown below. The graph reachesits minimum when the value of xis 4. What is the y-value of this minimum?--y= 2x2-16x + 30ys

The Equation And Graph Of A Polynomial Are Shown Below The Graph Reachesits Minimum When The Value Of Xis 4 What Is The Yvalue Of This Minimumy 2x216x 30ys class=

Answer :

We can find the y-value of the minimum using the graph or using the equation. Let's use the equation and evaluate it when x = 4.

[tex]\begin{gathered} y=2x^2-16x+30=2(4)^2-16(4)+30 \\ y=2\cdot16-64+30=32-64+30=-2 \end{gathered}[/tex]

Hence, the y-value of the minimum is -2.

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