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ASHA 777 [7]
3 years ago
10

Complete the general form equation of the parabola that passes through (4, -11) with vertex at : (2, -3).

Mathematics
1 answer:
fomenos3 years ago
7 0

Answer:

Step-by-step explanation:

You're given a coordinate in the form of (x, y) and you're also given the vertex in the form of (h, k). We will use those in the vertex form of the equation

y=a(x-h)^2+k and solve for a. Filling in:

-11=a(4-2)^2-3 which simplifies a bit to

-11=a(2)^2-3 and a bit more to

-11=4a-3. Add 3 to both sides to get

-8 = 4a so

a = -2

The equation, then, is

y=-2(x-2)^2-3

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Given:

Consider the equation is:

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Solution:

We have,

\log_81000=\log_210

Taking left hand side (LHS), we get

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LHS=\dfrac{\log (10)^3}{\log 2^3}

LHS=\dfrac{3\log 10}{3\log 2}                   [\because \log x^n=n\log x]

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LHS=\log_210                    \left[\because \log_ab=\dfrac{\log_x a}{\log_x b}\right]

LHS=RHS

Hence proved.

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3 years ago
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aksik [14]

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6 0
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nata0808 [166]

Answer:

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Step-by-step explanation:

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