Answer:
x = 2
Step-by-step explanation:
x = 4 is the equation of a vertical line parallel to the y- axis
A line parallel to it must also be a vertical line with equation
x = c ( c is a constant )
The only equation of this form is
x = 2 ← parallel to x = 4
Answer:
hello :
note : 1²+2²+3²+........+n² = n(n+1)(n+2)/6
Step-by-step explanation:
let : S = 1²+2²+3²+......+25²
A = 16²+17²+18²+...+25²
B = 1²+2²+3²+......+15²
S = (1²+2²+3²+....+15²) + (16²+17²+18²+...+25²)
calculate : S for : n = 25
S = 25(26)(27)/6 = 2925
calculate : B for : n = 15
B = 15(16)(17)/6 = 680
so : S = B + A
A = S - B = 2925 - 680 = 2245
Answer:
(for the second one)
y = 4x + 10
solution:
so first you have to find the slope, there is an equation for it. it is y2 - y1/ x2 - x1 or just y1 - y2/ x1 - x2 . so input the easiest points. id say f(0) and f(1)
so it will look like
2 - 6/0 - 1
-4/-1
4
so you can now write the equation as
y = 4x + b
now you have to find the y-intercept so input a point. i dont think you should input a point you used to find the slope because you could have made a mistake calculating so lets input f(2)
sooo
18 = 4(2) + b
18 = 8 + b
b = 10
so the function for the second one is y = 4x + 10
Answer:
Shifted up 5 units, g(x) = -f(x) + 5
Step-by-step explanation:
When you look at the graph of the parent function f and the transformed function g, you can see that after a reflection over the x-axis, you would need to translate the graph 5 units up to produce g.
A reflection over the x-axis is taking the negative of the function and shifing 5 units up is adding 5 to the function, so g(x) = -f(x) + 5