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2 years ago

PLZ ASWER ASAP!!!!!!!!!!!

Mathematics

1 answer:

geniusboy [140]2 years ago

4 0

Answer:

f(x) = 6x² - 24x + 21

Step-by-step explanation:

The equation of a quadratic function in vertex form is

f(x) = a(x - h)² + k

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

Here (h, k ) = (2, - 3 ) , then

f(x) = a(x - 2)² - 3

To find a substitute (1, 3 ) into the equation

3 = 1(1 - 2)² - 3

3 = a(- 1)² - 3

3 = a - 3 ( add 3 to both sides )

6 = a

f(x) = 6(x - 2)² - 3 ← in vertex form

= 6(x² - 4x + 4) - 3

= 6x² - 24x + 24 - 3

f(x) = 6x² - 24x + 21 ← in standard form

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