I'll do the first one to get you started
The equation y = x^2+16x+64 is the same as y = 1x^2+16x+64
Compare that to y = ax^2+bx+c and we see that
a = 1
b = 16
c = 64
Use the values of 'a' and b to get the value of h as shown below
h = -b/(2a)
h = -16/(2*1)
h = -8
This is the x coordinate of the vertex.
Plug this x value into the original equation to find the corresponding y value of the vertex.
y = x^2+16x+64
y = (-8)^2 + 16(-8) + 64
y = 0
Since the y coordinate of the vertex is 0, this means k = 0.
The vertex is (h,k) = (-8, 0)
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So we found that a = 1, h = -8 and k = 0
Therefore,
f(x) = a(x-h)^2 + k
f(x) = 1(x-(-8))^2 + 0
f(x) = (x+8)^2
is the vertex form
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<h3>Final answer to problem 1 is f(x) = (x+8)^2 </h3>
Answer:y = (19 - 8x)/3
Step-by-step explanation:
add 8x to both sides ,
-3y = -19+8x
dividing both sides by -3
y = (19 - 8x)/3
In mathematics, a constant function is one defined in
which a function whose output value (y) is the same for every value of the
input variable (x). Therefore this means that whatever is the value for x, the
value of y would always be the same. Hence we can say that the function is a
straight horizontal line in a Cartesian plane.
Since the value of y does not change, and the average rate
of change has the formula:
average rate of change = (y2 – y1) / (x2 – x1)
So y2 – y1 = 0 therefore average rate of change is also
zero.
Hence to complete the sentence:
For a constant function, the y-coordinate is <u>the same</u> for
every pair of points selected, so the average rate of change always has a value
equal to <u>zero</u>.
Answer:
60%
Step-by-step explanation:
Dimes are 10 cents 10 times 6 is 60
A dollar is 100 cents
