Consider the following function f(x)=x^2 + 5 write the function in vertex form that shifts right 3 units
1 answer:
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Step-by-step explanation:
-(4x + 3x) = 10x - 5
We would have to multiply the -1 by the 4x and the 3x which is in the bracket.
Though there is no 1 behind the bracket but, behind any bracket there is 1 there even though it's ignored.
So when we multiply -1 by 4x we are going to get;
-4x
And when we multiply -1 by 3x It's going to be;
-3x
We have -3 and -4 because whenever we multiply any positive and negative number the product is negative.
So;
-4x - 3x = 10x - 5
So now, we group like terms;
- 4x - 3x - 10x = -5
So now that we have grouped, we have to add the negative numbers even though there is no addition sign there we would have to add
-17x = -5
So now we divide both sides by;
-17
Which is going to be;
x=
Answer:
Equation of the circle (x-3)²+(y-5)²=(6.4)²
x² -6x +9 +y² -10y +25 = 40.96
Step-by-step explanation:
<u><em>Step(i):-</em></u>
Given endpoints of diameter P(−2, 1) and Q(8, 9)
Centre of circle = midpoint of diameter
Centre =
Centre (h, k) = (3 , 5)
<u><em>Step(ii):-</em></u>
The distance of two end points
PQ =
PQ = √164 = 12.8
Diameter d = 2r
radius r = d/2
Radius r = 6.4
<u><em>Final answer:-</em></u>
Equation of the circle
(x-h)²+(y-k)² = r²
(x-3)²+(y-5)²=(6.4)²
x² -6x +9 +y² -10y +25 = 40.96
x² -6x +y² -10y = 40.96-34
x² -6x +y² -10y -7= 0