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Alika [10]
3 years ago
10

I'm really bad at this type of thing, please help.

Mathematics
1 answer:
Ludmilka [50]3 years ago
7 0

Answer:

only the first three are equivalent to the expression

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Hat is the equation of the quadratic function with a vertex at (2,–25) and an x-intercept at (7,0)?
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Answer:

y = x² - 4x - 21

Step-by-step explanation:

The equation of a parabola in vertex form is

y = a(x - h)² + k

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Here (h, k) = (2, - 25), thus

y = a(x - 2)² - 25

To find a substitute (7, 0) into the equation

0 = a(7 - 2)² - 25 = a(5)² - 25 = 25a - 25 ( add 25 from both sides )

25a = 25 ( divide both sides by 25

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y = (x - 2)² - 25 ← in vertex form

Expand and simplify

y = x² - 4x + 4 - 25

y = x² - 4x - 21 ← in standard form

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