Question

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

Answer 1

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.

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

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