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a_sh-v [17]
3 years ago
6

What is the equation of a parabola in vertex form for a line that passed through (5,-4) and has vertex (-2,5)

Mathematics
1 answer:
Ahat [919]3 years ago
5 0

\text{The vertex form of a parabola}\\\\y=a(x-h)^2+k\\\\\text{We have the vertex}\ (-2,\ 5)\to h=-2,\ k=5.\\\\\text{Substitute}\\\\y=a(x-(-2))^2+5=a(x+2)^2+5\\\\\text{We have the point}\ (5,\ -4).\\\text{Substitute the coordinates of the point to the equation:}\\\\-4=a(5+2)^2+5\\\\-4=a(7)^2+5\\\\-4=49a+5\qquad|-5\\\\-9=49a\qquad|:49\\\\a=-\dfrac{9}{49}\\\\Answer:\ \boxed{y=-\dfrac{9}{49}(x+2)^2+5}

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Step-by-step explanation:

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4 0
3 years ago
What value of x solves the equation? -(-5x + 3) = 17 What value of x solves the equati​
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Step-by-step explanation:

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2 years ago
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serious [3.7K]
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(Simplify like terms in first half of equation)
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3 years ago
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nataly862011 [7]

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3 years ago
Corbin made a scale model of the San Jacinto Monument. The monument has an actual height of 604 feet. Corbin's model used a scal
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