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Lorico [155]
3 years ago
14

Identify the vertex and the y-intercept of the graph of the function, y = 0.25(x + 5)2

Mathematics
1 answer:
LUCKY_DIMON [66]3 years ago
5 0

\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] \rule{34em}{0.25pt}\\\\ y=0.25(x+5)^2\implies y=0.25[x-(\stackrel{h}{-5})]^2+\stackrel{k}{0}~\hfill \stackrel{\textit{vertex}}{(-5,0)} \\\\[-0.35em] ~\dotfill

\bf \stackrel{\textit{the y-intercept occurs when x =0}~\hfill }{y=0.25(0+5)^2\implies y=0.25(5)^2}\implies y=6.25~\hfill \stackrel{\textit{y-intercept}}{(0, 6.25)}

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Step-by-step explanation:

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2. if the sum of all the pages is 300, then it is possible to make up the equation:

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3. x=25, it means:

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2 years ago
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Explanation:

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3 years ago
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Isolate z by itself:

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3 years ago
Read 2 more answers
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