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Please help !!!

Use the parabola tool to graph the quadratic function.
f(x)= -2(x+4)^2-3.
Graph the parabola by first plotting its vertex and then plotting a second point on the parabola

User Padhu
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\bf ~~~~~~\textit{parabola vertex form} \\\\ \begin{array}{llll} \stackrel{\textit{we'll use this one}}{y=a(x- h)^2+ k}\\\\ x=a(y- k)^2+ h \end{array} \qquad\qquad vertex~~(\stackrel{}{ h},\stackrel{}{ k}) \\\\[-0.35em] ~\dotfill\\\\ f(x)=-2(x+4)^2-3\implies f(x)=-2[x-(\stackrel{h}{-4})]^2\stackrel{k}{-3}~\hfill \stackrel{vertex}{(-4,-3)}

well, to get a second point, we simply pick a random "x" hmmm say x = 1, so then

f( 1 ) = -2( 1 + 4) ² - 3

f( 1 ) = -2(25) - 3

f( 1 ) = -53

so from that we get the point of x = 1, y = -53 ( 1 , -53), so it looks like the picture below.

Please help !!! Use the parabola tool to graph the quadratic function. f(x)= -2(x-example-1
User Maystro
by
7.6k points

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