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SSSSS [86.1K]
3 years ago
14

Which statement correctly describes the relationship between the graph of f(x)=x and the graph of g(x)=f(x)+5 ?

Mathematics
1 answer:
Anettt [7]3 years ago
5 0
<h3>Answer: B) f(x) is translated 5 units up</h3>

Recall that y = f(x) since both are outputs of a function

Saying f(x)+5 is the same as y+5. So we're adding 5 to each y coordinate of each (x,y) point. A point like (1,7) turns into (1,12) after doing this shifting.

Doing this to every point shifts the entire f(x) curve 5 units up to get g(x)

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The Panthers scored 13 more points than the Giants. The total of their scores was 47. How many points did each team score?
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3 years ago
Geometry help! Please prove the following is a square with full explanation, I'm really lost.
Hoochie [10]

We have to show that this is a square, meaning all the sides are perpendicular and the same distance.  

A(3,4), B(2,-2), C(-4,-1), D(-3,5)

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AB=B-A=(2 - 3, -2 - 4) = (-1, -6).   slope=-6/-1=6  AB²=(-1)²+(-6)²=37

BC=C-B=(-6, 1).  slope=1/-6=-1/6.   BC²=(-6)²+1²

CD=D-C=(1, 6).   slope=6/1=6    CD²=1²+6²=37

DA=A-D=(6,-1)   slope=-1/6     DA²=37

We see the negative reciprocal slopes, alternating between 6 and -1/6, indicating perpendicular sides.  We see they all have squared distance 37.  Equal perpendicular sides proves its a square.

If we do these problems enough we learn:  There's no point taking the square root.  In fact, there's really no point computing the slopes and the squared distances; we can see it's a square from the pattern of the direction vectors of the sides:  (-1, -6) (-6, 1) (1, 6) (6,-1)

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4 years ago
What is the slope of the linear function represented in the table​
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The slope formula is attached. When you plug in the numbers, you get 1/7 -

0 - 1 / -7 - 0

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