Start with the vertex form of the equation of a quadratic. Fill in the numbers you know and solve for the one you don't know.
y = a(x -h)² +k . . . . . . . . for some stretch factor "a" and vertex (h, k)
1. Vertex = (h, k) = (0, 0). Stretch factor can be found from the given point (x, y).
8 = a(-2 -0)² +0
8 = 4a . . . . . . . . simplify
2 = a . . . . . . . . . divide by the coefficient of "a"
Your equation is y = 2x².
Note the above method for solving these problems. It repeats.
2. As above, substitute what's given and solve for what's not.
3 = a(1 -2)² +0
3 = a
Your equation is y = 3(x -2)²
3. Repeat
-4 = a(-5 +3)² +0
-4 = 4a
-1 = a
Your equation is y = -(x +3)²
4. Are you seeing the pattern yet?
0 = a(-1 -0)² +1
0 = a +1
-1 = a
Your equation is y = -x² +1
5 & 6. You know that if you want a zero (x-intercept) to be located at x=a, then a factor of the quadratic will be (x -a). Multiply the factors together to get your quadratic function.
5. y = (x -0)*(x -2) = x² -2x
6. y = (x +5)*(x -5) = x² -25 . . . . . . . . . . you should recognize this "special form", the factoring of the difference of squares
Well the answer that I got is 168 but I haven't done this since forever
Answer:
X = 10.4
Step-by-step explanation:
Since the angle is a 90 degress angle we can assume that
39 + (5x-1) = 90 degrees.
Therefore we can subtract 39 from both sides which will give us
5x-1=51
Add 1 to both sides
5x = 52
Divide both sides by 5
x=52/5
The answer is
X = 10.4
Hope this helps! :)
I wrote the equation of 2x-8. I attached an image of the line for the equation I wrote, and the point you gave for the line to go through.