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MariettaO [177]
3 years ago
13

What is the equation of the graph

Mathematics
1 answer:
balandron [24]3 years ago
4 0

Answer:

y=6^x-2

Step-by-step explanation:

Start with the parent function, a^x. The graph looks like it has been translated b units down, so our function is a^x+b. Now at x=0, y=-2. So b=-2. Next at x=1, y=3. 3=a^(1)-2, a=6. y=6^x-2 is the equation

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“what is the equation of a conic with vertices (-9,3) and (7,3) and foci (-5,3) and (3,3)”
iragen [17]

This is an ellipse.

Equation of an ellipse: \frac{x^2}{a^2}+\frac{y^2}{b^2}=1

Let's find the center point first. We can do this by finding out the midpoint between the vertices or the foci.

(-9+7)/2=-1

Center: (-1,3)

Now we need to find a and b (length along x and length along y).

We know "a". It is the distance between the center and the right or left bound.

a=7-(-1)=8

To find out "b", first see that...

b^2=a^2-(distance from center to foci)^2

foci distance=3-(-1)=4

b^2=8^2-4^2

b^2=64-16

b^2=48

b=4√3

answer: \frac{(x+1)^2}{64}+\frac{(y-3)^2}{48}=1

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3 years ago
What is the volume of the prism given below?
KatRina [158]
Hi there!

Similar to the area of a triangle, it is 1/2 the area of a square. Therefore, we can multiply the base x height x length and divide it by 2 to find the volume of this figure.

WORK:
(6 x 8 x 19) / 2 = 456

ANSWER: 
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Hope this helps!! :)
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Read 2 more answers
Point Q is the image of Q (-5,1) under a translation by 6 units to the right and 2 units down.
Alex787 [66]

Answer:

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Step-by-step explanation:

The graph is being shifted 6 units to the right which affects the x-value and it is also being affected 2 units down which affects the y-value.

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