shashi2728

23.09.2020 •

Mathematics

7 12 ÷ 7 4 is equal to .

1 3
3
7 3
7 8

Solved

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Ответ:

leewalker1341

07.08.2020

Mathematics

Part A) The function written in vertex form is $f(x)=15(x+2)^{2}-79$

Part B) The vertex of the function is the point (-2,-79)

Step-by-step explanation:

Part A) Write the function in vertex form

we know that

The equation of a vertical parabola in vertex form is equal to

$y=a(x-h)^{2}+k$

where

(h,k) is the vertex of the parabola

In this problem we have

$f(x)=15x^{2}+60x-19$

Convert to vertex form

Group terms that contain the same variable, and move the constant to the opposite side of the equation

$f(x)+19=15x^{2}+60x$

Factor the leading coefficient

$f(x)+19=15(x^{2}+4x)$

Complete the square. Remember to balance the equation by adding the same constants to each side

$f(x)+19+60=15(x^{2}+4x+4)$

$f(x)+79=15(x^{2}+4x+4)$

Rewrite as perfect squares

$f(x)+79=15(x+2)^{2}$

$f(x)=15(x+2)^{2}-79$ -----> function in vertex form

Part B) Name the vertex for the function

we have

$f(x)=15(x+2)^{2}-79$

The vertex of the function is the point (-2,-79)

The parabola open upward, so the vertex is a minimum

see the attached figure to better understand the problem

Consider the function f(x)=15x^2+60-19 part a: write the function in vertex form. part b: name the

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7 12 ÷ 7 4 is equal to . 1 3 3 7 3 7 8