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3 years ago

Plot the axis of symmetry and the point where the maximum value occurs for this function: h(x) = -(x + 2)2 + 8.

Mathematics

1 answer:

adelina 88 [10]3 years ago

8 0

Answer:

See attachment

Step-by-step explanation:

The given function is $h(x)=-(x+2)^2+8$

This function is in the form:

$g(x)=a(x-h)^2+k$

Where the axis of symmetry is given by $x=h$

By comparison, we have -h=2.

This implies h=-2

Therefore the axis of symmetry is $x=-2$

The maximum value occurs at the vertex, given by (h,k)=(-2,8)

See attachment for the axis of symmetry and maximum point.

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Step-by-step explanation:

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i.e. sample proportion: $\hat{p}=\dfrac{440}{525}\approx0.838$

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Formula to find the confidence interval :

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$0.838\pm (1.645)\sqrt{\dfrac{0.838(1-0.838)}{525}}\\\\=0.838\pm (1.645)\sqrt{0.00025858285}\\\\=0.838\pm (1.645)(0.01608)\\\\= 0.838\pm0.0265\\\\=(0.838-0.0265,\ 0.838+0.0265)\\\\=(0.8115,\ 0.8645)$

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