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Ksivusya [100]
3 years ago
11

Find the coordinates of the vertex of the following parabola algebraically. Write your answer as an (x,y)(x,y) point.

Mathematics
1 answer:
Serga [27]3 years ago
3 0

Answer:

(8,-3)

Step-by-step explanation:

The given parabola is

y =  - 3 {x}^{2}  + 48x  - 195

We factor -3 from the first two terms to get:

y =  - 3( {x}^{2}   - 16x)  - 195

Add and subtract the square of half the coefficient of x

y =  - 3( {x}^{2}   - 16x + 64)   + 3 \times 64- 195

y =  - 3 {(x - 8)}^{2}  + 192 - 195

We simplify to get:

y =  - 3 {(x - 8)}^{2}  - 3

We compare this to y=a(x-h)²+k,

The vertex is (h,k)=(8,-3)

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