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Hello, I have this worksheet and I don't know how to do it my teacher didn't explain.

Hello, I have this worksheet and I don't know how to do it my teacher didn't explain-example-1
User Nhqazi
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1 Answer

4 votes

1.

Answer:


\begin{gathered} \text{Zeros : x = 0 , x = -4} \\ \text{Axis of symmetry : x = -2} \\ \text{Max or Min : Max at point (-2,4)} \\ \text{Vertex: (-2,4)} \end{gathered}

Step-by-step explanation:

Given the graph in the attached image;

The Zeros are the values of x for which the equation gives y=0.

The values of x for which y=0.

From the graph, it is the point at which the function intercept the x axis;

So, the zeros are at;


\begin{gathered} \text{Zeros} \\ x=0 \\ x=-4 \end{gathered}

The line of symmetry is the line that can divide the equation into two equal halves.

The line of symmetry for the given equation is;


x=-2

For the given equation, it opens downwards, so it has a Maximum point at point;


\begin{gathered} \text{Max} \\ at\text{ point;} \\ (-2,4) \end{gathered}

For this equation the Vertex is similar to the maximum point and the Vertex is also at;


(-2,4)

So, we have;


\begin{gathered} \text{Zeros : x = 0 , x = -4} \\ \text{Axis of symmetry : x = -2} \\ \text{Max or Min : Max at point (-2,4)} \\ \text{Vertex: (-2,4)} \end{gathered}

User Victor Elias
by
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