The x coordinate of the vertex will be the average of the two zeros, here -3 and 5, so x=(-3+5)/2 = 1, f(1)=(1+3)(1-5) = -16.
Answer: (1, -16)
Let's do it some other ways. How about completing the square to turn f in to vertex form?
f(x) = (x+3)(x-5) = x² - 2x - 15 = (x² - 2x + 1) - 1 - 15 = (x-1)² - 16
and now we can read off (1, -16) as the vertex.
The other method is the vertex is x= - b/2a = - (-2)/2(1) = 1.
Three methods, same answer. Good.
Answer:
2/3
Step-by-step explanation:
-2 and 4 are 6 away
4 and 13 are 9 away
Thus it is 6/9 or 2/3
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Answer: Choice B 
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Work Shown:
Angle theta is between 0 and pi/2, so this angle is in quadrant Q1.
Square both sides of the given equation
Then use the pythagorean trig identity to get
Answer:
y+1=-5/7(x-4)
Step-by-step explanation:
y-y1=m(x-x1)
m=(y2-y1)/(x2-x1)
m=(4-(-1))/(-3-4)
m=(4+1)/-7
m=5/-7
m=-5/7
y-(-1)=-5/7(x-4)
y+1=-5/7(x-4)
