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3 years ago

In the equation y=a(x-h)^2+k, the "k" translates the parabola in what manner?

Mathematics

1 answer:

stellarik [79]3 years ago

4 0

Answer:

k is the vertical shift

Step-by-step explanation:

y=a(x-h)^2+k

This gives the parabola in vertex form

(h,k) is the vertex where h is the x coordinate and k is the y coordinate

k is the vertical shift

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The cost to rent a jet ski is $80 per hour. in addition there also includes fee for a lesson on how to use the jet ski. Steve re

melomori [17]

Answer:

$y=80x+25$

Step-by-step explanation:

Let

x ----> the number of hours

y ---> the total cost of renting a jet ski in dollars

we know that

The linear equation in slope intercept form is equal to

$y=mx+b$

where

m is the slope or unit rate of the linear equation

b is the y-intercept or initial value

In this problem we have

The slope is equal to

$m=\$80\ per\ hour$

we have the ordered pair (3,265)

substitute in the linear equation

$265=80(3)+b$

solve for b

$265=240+b$

$b=265-240$

$b=\$25$ ----> fee for a lesson on how to use the jet ski

substitute

$y=80x+25$

8 0

3 years ago

Y = log2 (x – 4)<br><br> How do I solve this

Dominik [7]

Xmin:-10 Xmax:10 and Ymir:-10 Ymax:10

7 0

3 years ago

What is the range of the function below in set builder notation? y=|x-3|

Kisachek [45]

Answer: $\{y | \ y \in \mathbb{R}, \ y \ge 0\}$

This translates to "y is any real number such that it is 0 or larger".

The reasoning is that the result of any absolute value function is either 0 or positive. In other words, we'll never get a negative result of an absolute value function. This is due to how absolute value represents distance. Negative distance does not make sense.

So if y = |x-3| then y = 0 is the smallest output possible. We could have any positive output we want.

In terms of a graph (see below), the V shape is at the lowest point (3,0). The y coordinate is all we care about in terms of finding the range. So we see the lowest y value is y = 0.