Answer:
y = 2x + 8
Step-by-step explanation:
Find the slope of a line between (-8,-8) and (-9,-10) using m = 
, which is the change in y over the change in x.
Substitute in the values of x and y into the equation to find slope.
Simplify.
Simplify the numerator.
Multiply -1 by -8
Add -10 and 8
Simplify the denominator.
Multiply -1 by -8
Add -9 and 8.
Divide -2 by -1.
Using the point slope form 
plug in m = 2, 
Solve for y.
Multiply -1 by -8
y
+
8
=
(
2
)
(
x
−
(
−
8
)
)
Simplify (
2
)
(
x
−
(
−
8
)
)
.
Multiply −
1 by −
8
y+8
=
2
(
x
+
8
)
Apply the distributive property.
y
+
8
=
2
x
+
2
⋅
8
Multiply 2 by 8
.
y
+
8
=
2x
+
16
Move all terms not containing y to the right side of the equation.
Subtract 8 from both sides of the equation.
y
=
2
x
+
16
−
8
Subtract 8 from 16
.
y
=
2
x
+
8
hi <3
439.612, 439.261, 439.216, 439.126
hope this helps :)
Answer: -1.1 , 2.4 , 1.51
Step-by-step explanation:
I think it's x2–1=0 because it's the only one that has -1 for origin of the ordinate
9514 1404 393
Answer:
Step-by-step explanation:
A lot of math is about matching patterns.
For example, ...
g(x) = f(x -h) +k
means g(x) is the function f(x) translated right by h units and up by k units. This will be true for any expression of f(x).
__
In this problem, f(x) = √x. We want to translate it left 6 units (h=-6)*, and up 4 units (k=4).
The notation above means that we will replace x with (x-h) = x+6. and we will add k = 4 to the result.
f(x) = √x
g(x) = f(x+6) +4
g(x) = √(x+6) +4 . . . . . . matches choice D
_____
* Left is the opposite of right, so left 6 units is the opposite of right 6 units. h=6 for <em>right 6 units</em>, so h=-6 for <em>left 6 units</em>. Then x-h = x-(-6) = x+6.
__
<em>Comment on the graph</em>
I find it useful to see a picture with these things. In the attached graphing calculator output, the blue curve is left 6 and up 4 from the red curve. The blue curve is g(x); the red one is f(x).
