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DedPeter [7]
3 years ago
15

Sandra wrote p(x) = 30x + 5x2 in vertex form. Her work is below.

Mathematics
1 answer:
marta [7]3 years ago
8 0

Answer:

p(x) = 5(x + 3)² - 45

Step-by-step explanation:

Sandra wrote the function as p(x) = 30x + 5x².

So, this is a formula of a parabola, and this we have to convert into vertex form.

Now, rearranging the function we get

p(x) = 5(x² + 6x)

⇒ p(x) = 5(x² + 6x + 9) - 45

⇒ p(x) = 5(x + 3)² - 45

So, this is the vertex form and the vertex of the parabola is (-3,-45).

We know the formula of a parabola having vertex at (m,n) and axis parallel to positive y-axis is given by

(x - m)² = 4a(y - n)

⇒ y = \frac{1}{4a} (x - m)^{2} + n (Answer)

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