You are in a bike race. When you get to the first checkpoint, you are 25 of the distance to the second checkpoint. When you get
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Answer:
y-4=-7(x-1) OR y-(-10)=-7(x-3)
Step-by-step explanation: The point-slope form is -
=
(
-
)
In slope-intercept form, the equation would be y = -7x + 11
You could find the slope by using the slope equation, .
Using that, you would get -7. Thus by inserting one of the points and the slope in the point-slope equation, you will get your answer.
Change the function into vertex form:
f(x)=x²-10x+16
make a square by (adding half of -10)², which is 25, then subtract it:
f(x)=x²-10x+25-25+16
f(x)=(x-5)²-9
so the vertex is at (5,-9)
another way to do it:
f(x)=x²-10x+16
the vertex is when x=-
, b=-10, a=1 in this case.
x=-(-10/2*1)=5
plug x=5 into the quadratic function, you get f(x)=-9
f(x)=x²-10x+16
make a square by (adding half of -10)², which is 25, then subtract it:
f(x)=x²-10x+25-25+16
f(x)=(x-5)²-9
so the vertex is at (5,-9)
another way to do it:
f(x)=x²-10x+16
the vertex is when x=-
x=-(-10/2*1)=5
plug x=5 into the quadratic function, you get f(x)=-9