Question

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

Answer 1

1.

Answer:

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

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;

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