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timofeeve [1]
3 years ago
7

4. What is the axis of symmetry for h(x) = 19(x – 5)^2 + 6

Mathematics
1 answer:
tester [92]3 years ago
4 0

Answer:

x = 5

Step-by-step explanation:

The equation of a parabola in vertex form is

y = a(x - h)² + k

(h, k ) are the coordinates of the vertex and a is a multiplier

h(x) = 19(x - 5)² + 6 ← is in vertex form

with vertex (h, k ) = (5, 6 )

The axis of symmetry is a vertical line passing through the vertex

with equation x = 5

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First look for the fundamental solutions by solving the homogeneous version of the ODE:

y''+3y'=0

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(20at^3+12bt^2+6ct+2d)+3(5at^4+4bt^3+3ct^2+2dt+e)=2t^4

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Substitute into the ODE:

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