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Given the function and the graph below, please answer the following:

Given the function and the graph below, please answer the following:-example-1
User Wrikken
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1 Answer

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The given quadratic function is


f(x)=(-x-1)^2+3

It represented graphically by an upward parabola

Since the parabola is upward, then it has a minimum vertex

From the graph, the minimum vertex is (-1, 3)

Then let us answer the questions

Maximum point: None

Minimum point: (-1, 3)

To find f(-5), substitute x by 5 in the function above


\begin{gathered} f(-5)=(--5-1)^2+3 \\ f(-5)=(5-1)^2+3 \\ f(-5)=(4)^2+3 \\ f(-5)=16+3 \\ f(-5)=19 \end{gathered}

To find f(6), substitute x by 6 in the function above


\begin{gathered} f(6)=(-6-1)^2+3 \\ f(6)=(-7)^2+3 \\ f(6)=49+3 \\ f(6)=52 \end{gathered}

The answers:

f(-5) = 19

f(6) = 52

User Kandice
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