midpoint = (2, 4 )
using the midpoint formula
midpoint = [
(1 + 3 ),
(2 + 6 )] = (2, 4)
Answer:
see explanation
Step-by-step explanation:
The equation of a parabola in vertex form is
y = a(x - h)² + k
where (h, k) are the coordinates of the vertex and a is a multiplier
Here (h, k) = (3, 1), hence
y = a(x - 3)² + 1
To find a substitute (- 2, - 4) into the equation
- 4 = a(- 2 - 3)² + 1
- 4 = 25a + 1 ( subtract 1 from both sides )
25a = - 5 ( divide both sides by 25 )
a = -
= - 
y = -
(x - 3)² + 1 ← in vertex form
Answer:
(-2, -4), (-1, -1), (0, 0), (1, -1), (2, -4)
Step-by-step explanation:
You plug in x values to get the y values are dot-in the points!
y = -x^2
You plug in -2 and get -(2)^2 = -(4) = -4
Same thing with all other values.
Answer:
2x-8 = 20-6x
Step-by-step explanation:
The distributive property tells us to multiply the term outside parentheses by everything inside:
2(x-4) = 5(4-2x)+4x
2(x)+2(-4) = 5(4)+5(-2x)+4x
2x-8 = 20-10x+4x
Combining like terms on the right gives us
2x-8 = 20-6x
5 16/25 is the greatest and -18/25 is the least if I'm correct