h and k are just arbitrarily choosen names for these functions, and (x) is the variable we do all the calculations with
example: (x) can be some function, while d(x)= 2*f(x) always doubles what f(x) would give you. and in order to talk about the new function we give it a new name.
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let's have a look into it.
and with a look, I mean a look (screenshot 1)
k(x) basically takes the other equation, doubles its values, but also flips the sign (hence -2*h(x)), and then adds 3 (shifting everything 3 units up)
k(x) is a <em><u>vertical stretch</u></em> [note thatthe zero-pounts stay the same] by a factor of <em><u>-2</u></em>, <em><u>translated up</u></em> [you typed translated right twice, but the +3 in the new equation is safely putting everything 3 units higher].
to be honest, I can't get the meaning of some of the blanks and the options you mentioned don't seem to fit well.
I hope I gave you enough insight to do do the quiz anyways.
pls let me no if you solved it or if you need further explanations.
Answer:
don't know don't care
Step-by-step explanation:
Answer:
k = -4
Step-by-step explanation:
The given equation is: 2y = - 3x - 2.
This is written as: 3x + 2y + 2 = 0.
Given the point (2, k) lies on the line given.
That means it should satisfy the given equation.
So, to find the value of 'k', simply substitute the point on the line.
So, it becomes: 3(2) + 2(k) + 2 = 0
⇒ 6 + 2k + 2 = 0
⇒ 2k = - 8
Dividing by 2 throughout, we get: k = - 4
Hence, (2, -4) lies on the line.
Answer:
15.98cm
Step-by-step explanation:
Given data
Volume= 602.88cm^3
Radius= 6cm
The formula for the volume of a cone is
V= 1/3 πr^2h
substitute
602.88= 1/3*3.142*6^2*h
602.88=1/3*3.142*36*h
602.88=37.704*h
h= 602.88/37.704
h= 15.98cm
Hence the height is 15.98cm
The number at the end of the equation shifts the graph up or down.
Changing the 1/2 to a -2 would shift the graph down which would change the y-intercept.
The answer is D.