k = 5
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
To obtain this form use the method of completing the square
Since the coefficient of the x² term is 1 then
add/ subtract (half the coefficient of the x-term )² to x² - 6x
f(x) = x² + 2(- 3)x + 9 - 9 + 14 = (x - 3)² + 5 → k = 5
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Answer:
d
Step-by-step explanation:
First of all you have to make them equal to each other. What I mean is the following
3x+20=2x+40
Then you should just solve for x
Answer:
Step-by-step explanation:
Rotations are easy when its multiples of 90 degrees; 90,180,270,360. Treat them like they’re a complex number like [x+yi]*i=[-y,xi] so rotating by 90 degrees and 180 is i squared [-1]! So [-3,2] rot90 is [-2,-3].
Reflection about the y=x line is change places. [x.y]=[y,x].
So [-2.-3] reflected about the y=x line is [-2.-3]=[-3.-2],
Compile a list of these transform is best practice technique in this area.