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umka2103 [35]
3 years ago
9

Write the equation of the quadratic graph in the form f(X)= a(x-h)^2+k

Mathematics
1 answer:
goldfiish [28.3K]3 years ago
7 0

Answer:

f(x) = 2(x - 5)² - 6

Step-by-step explanation:

Vertex Formula: <em>y</em><em> </em><em>=</em><em> </em><em>a</em><em>(</em><em>x</em><em> </em><em>-</em><em> </em><em>h</em><em>)</em><em> </em><em>+</em><em> </em><em>k</em>; Vertex: [<em>h</em><em>,</em><em> </em><em>k</em>]; there is a vertical stretch at <em>2</em><em> </em><em>=</em><em> </em><em>a</em><em>.</em><em> </em>The <em>-</em><em>h</em><em> </em>[phase shift (horizontal shift)] in parentheses gives you the OPPOSITE term of what it really is, so really, <em>5</em><em> </em><em>=</em><em> </em><em>h</em><em>.</em><em> </em>Now, <em>k</em><em> </em>[vertical shift] is the ONLY normal term, so <em>-</em><em>6</em><em> </em><em>=</em><em> </em><em>k.</em><em> </em>

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