3 years ago

What is the vertex of the absolute value function defined by f(x)=|x+5|+7?

Mathematics

1 answer:

irina1246 [14]3 years ago

6 0

The vertex of the function f(x) = |x - a| is in (a, 0).

f(x) + a - shift the graph of function f(x) a units up.

Therefore:

The verex of y = |x + 5| is in (-5, 0).

The vertex of y + 7 = f(x) = |x + 5| + 7 is in (-5, 0 + 7) = (-5, 7).

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Line LR bisects MN at point L. Find the length of ML if MN = 152 ft.

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$ML = 76\text{ feet}$

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Since Line LR bisects MN at point L, by the definition of bisector:

$\overline{ML} \cong \overline{LN}$

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