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3 years ago

Explain how you could determine the vertex of the given quadratic function graphically. f(x) = (x + 2) (x -4)

Mathematics

1 answer:

bearhunter [10]3 years ago

4 0

Answer:Get the equation in the form y = ax2 + bx + c.

Calculate -b / 2a. This is the x-coordinate of the vertex.

To find the y-coordinate of the vertex, simply plug the value of -b / 2a into the equation for x and solve for y.

Step-by-step explanation:

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Write an equation that represents the line. Use exact numbers

mestny [16]

The equation that represents the line is:

$y = \frac{5}{6}x+\frac{8}{3}$

Step-by-step explanation:

We have to observe the graph to find the points on line

So the points on line are:

(x1,y1) = (4,6)

(x2,y2) = (-2,1)

First of all we have to find the slope

$m = \frac{y_2-y_1}{x_2-x_1}\\= \frac{1-6}{-2-4}\\=\frac{-5}{-6}\\=\frac{5}{6}$

Equation of line is given by:

$y=mx+b$

Putting the value of slope

$y = \frac{5}{6}x +b$

Putting (4,6) in the equation

$6 = \frac{5}{6}(4)+b\\6 = \frac{20}{6} +b\\b = 6 - \frac[20}{6}\\b = \frac{36-20}{6}\\b = \frac{16}{6}\\b = \frac{8}{3}$

Putting the value of b

$y = \frac{5}{6}x+\frac{8}{3}$

Hence,

The equation that represents the line is:

$y = \frac{5}{6}x+\frac{8}{3}$

Keywords: Equation of line, slope

Learn more about equation of line at:

#LearnwithBrainly

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3 years ago

3/4x-4=-19 <br> Whats is the solution to the equation?

Levart [38]

Answer:

x=-20

Step-by-step explanation:

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Which number is a multiple of 7? A 27 B 48 C 56 ET D 74

saul85 [17]

Answer:

C. 56

Step-by-step explanation:

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7.2b + 6.5 > 4.8b – 8.1.

Marianna [84]

Isolate the variable by dividing each side by factors that don't contain the variable.
Inequality Form:
b
<
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¯
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b
<
Interval Notation:
(
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∞
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¯
6
)

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3 years ago

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lapo4ka [179]

Step-by-step explanation:

what is the question you are just showing us the lesson and modle

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