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gregori [183]
3 years ago
8

Show all your work to find the axis of symmetry of f(x) = −2(x − 4)^2 + 2.

Mathematics
1 answer:
Naya [18.7K]3 years ago
6 0

Answer:

-2(x^2+15)

Step-by-step explanation:

f(x) = −2(x − 4)^2 + 2.

Expanding (x-4)^2

(x-4)(x+4)

x(x+4)-4(x+4)

x^2+4x-4x-16

x^2-16

F(x) = -2(x^2-16)+2

-2x^2-32+2

-2x^2-30

-2(x^2+15)

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Step-by-step explanation:

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8! 8x8=64 lol

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The ratio of students wearing sandals to those wearing sneakers is 5 : 1. If there are 30 students in the class, and all of them
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3 years ago
Which is an equation of the line that passes through<br> the points (5, 2) and (10, -3)?
sashaice [31]

Answer:

y = -x + 7

Step-by-step explanation:

Hi there!

We are given the following points:
(5,2) and (10,-3)

We want to find the equation of the line that passes through these 2 points

There are 3 ways to write the equation of the line, yet the most common way is slope-intercept form, which is y=mx+b (m is the slope and b is the y intercept).

First, let's find the slope of the line.

The slope can be calculated from 2 points using the equation \frac{y_2-y_1}{x_2-x_1}, where (x_1, y_1) and (x_2, y_2) are points

We have everything we need to find the slope, but let's label the values of the points to avoid confusion and mistakes.

x_1=5\\y_1=2\\x_2=10\\y_2=-3

Now substitute these values into the formula to find the slope

m=\frac{y_2-y_1}{x_2-x_1}

m=\frac{-3-2}{10-5}

Simplify

m=\frac{-5}{5}

Divide

m=-1

The slope of the line is -1

We can substitute this value as m in y=mx+b.

Here's the equation of our line so far:

y=-x+b

Now we need to find b

As the equation passes through the points (5,2) and (10,-3), we can use either point to find the value of b

Taking (5,2) for example:

Substitute 5 as x and 2 as y

2=-5+b

Add 5 to both sides

7=b

Substitute 7 as b in the equation

y = -x + 7

Hope this helps!

See more on this topic here: brainly.com/question/27166723

4 0
2 years ago
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