3 years ago

Given the function: f(x) = 2x2 - 3x + 8, find f(-2).

Mathematics

1 answer:

Vaselesa [24]3 years ago

5 0

Answer: 22

<u>Step-by-step explanation:</u>

f(x) = 2x² - 3x + 8

f(-2) = 2(-2)² - 3(-2) + 8

= 2(4) + 6 + 8

= 8 + 6 + 8

= 22

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Check the picture below. So,the parabola looks like so, notice the distance "p". since the parabola is opening to the right, then "p" is positive, thus is 5.

$\bf \textit{parabola vertex form with focus point distance}\\\\
\begin{array}{llll}
\boxed{(y-{{ k}})^2=4{{ p}}(x-{{ h}})} \\\\
(x-{{ h}})^2=4{{ p}}(y-{{ k}}) \\
\end{array}
\qquad 
\begin{array}{llll}
vertex\ ({{ h}},{{ k}})\\\\
{{ p}}=\textit{distance from vertex to }\\
\qquad \textit{ focus or directrix}
\end{array}\\\\$

$\bf -------------------------------\\\\
\begin{cases}
h=3\\
k=1\\
p=5
\end{cases}\implies (y-1)^2=4(5)(x-3)\implies (y-1)^2=20(x-3)
\\\\\\
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