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Nataly [62]
3 years ago
7

Which of the following represents the graph of f(x) = 3x2 - 12 ?

Mathematics
1 answer:
xxMikexx [17]3 years ago
8 0
F(x) = 3x² - 12

Finding where the graph crosses the axes will help us to determine the correct graph

When x = 0,
f(0) = 3(0)² - 12
f(0) = -12

So we have one point (0, -12)

When y = 0
0 = 3x² - 12
12 = 3x²
4 = x²
√4 = x
x = ⁺/₋ 2 

So the graph crosses the x-axis at -2 and 2 and the y-axis at -12

The correct graph is option A
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Answer:

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Step-by-step explanation:

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3 years ago
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scZoUnD [109]

Answer:

(0, 0), (4, 0), (4, -5)

Step-by-step explanation:

This one keeps the same lengths of the previous triangle. It also keeps the same proportions (or something) etc, etc. I solved this problem by graphing and seeing which one fit best.

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3 years ago
Write the equation of a line through points (5,5) and (1, 0) in point-slope form?
algol [13]

Answer:

Step-by-step explanation:

I’m assuming that the equation is to be written in slope intercept form (y=mx+b), so for this, you want to find the slope and y-intercept. To find the slope, use the equation in picture 1.

0 - 5 = -5

1 - 5 = -4

-5 / -4 = 1.25

So m, or the slope, is equal to 1.25.

To find the y-intercept, make a table like the second picture. Choose one of the ordered pairs as the given. I used 1,0.

0,?

1,0

Now find the change in x, which in this case, is 1. Then set up something like picture three.

1.25/1 = ?/1

?=1.25

Now backtrack to get:

0, -1.25

1, 0

Now we know what is y when x is 0, we know the y intercept and can make the equation:

y = 1.25x - 1.25

5 0
2 years ago
A line passes through (-1,5) and (1,3) what is the equation of the line
chubhunter [2.5K]

Answer:

y = -x + 4

Step-by-step explanation:

(-1,5)...x1 = -1 and y1 = 5

(1,3)....x2 = 1 and y2 = 3

slope(m) = (y2 - y1) / (x2 - x1) = (3 - 5) / (1 - (-1) = -2 / (1 + 1) = -2/2 = -1

y = mx + b

slope(m) = -1

u can use either of ur points...I will use (1,3)...x = 1 and y = 3

now we sub and find b, the y int

3 = -1(1) + b

3 = -1 + b

3 + 1 = b

4 = b

ur equation is : y = -x + 4 <===

4 0
3 years ago
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