Easily we can use formula y=(x-h)^2 +k
as equation of a parabola if vertex was (h,k):
Y=(x-1)^2 + 3
and maybe node (2,6) is incorrect for this vertex of a parabola!!!
Let's calculate r of this G.P: (-20)/(4) = - 5(100)/(-20) = - 5So r = -5
The formula to find the nth term of a GP is;
a(n) = a(r)ⁿ⁻¹
<u />a₆ = a(r)⁶⁻¹
a₆ = 4(-5)⁵ = -12500<u />
Answer:
x = -12
Step-by-step explanation:
-2.5(x-4)=-3x+4
Distribute
-2.5x +10 = -3x +4
Add 3x to each side
-2.5x+10 +3x = -3x+4+3x
.5x +10 = 4
Subtract 10 from each side
.5x+10-10=4-10
.5x = -6
Divide by .5
.5x/.5 = -6/.5
x = -12
Answer:
The equation of the new function is 
Step-by-step explanation:
Suppose we have a function f(x).
a*f(x), a > 1, is vertically stretching f(x) a units. Otherwise, if a < 1, we are vertically compressing f(x) by a units.
f(x - a) is shifting f(x) a units to the right.
f(x + a) is shifting f(x) a units to the left
In this question:

Vertically compressing by 1/2:
This is the same as multiplying the function by 1/2. So

The equation of the new function is 
A. <span>2x + 5y= 10
5y= -2x+10
</span>-> y= -2/5x+2
b. The slope is 2
c. For the y intecpet, x is always 0
y= -2/5x+2
y= -2/5(0)+2
y=0+2
y=2
(0,2) is the y-interecpt
d. Please veiw below