Remember that the vertex form of a parabola or quadratic equation is:
y=a(x-h)^2+k, where (h,k) is the "vertex" which is the maximum or minimum point of the parabola (and a is half the acceleration of the of the function, but that is maybe too much :P)
In this case we are given that the vertex is (1,1) so we have:
y=a(x-1)^2+1, and then we are told that there is a point (0,-3) so we can say:
-3=a(0-1)^2+1
-3=a+1
-4=a so our complete equation in vertex form is:
y=-4(x-1)^2+1
Now you wish to know where the x-intercepts are. x-intercepts are when the graph touches the x-axis, ie, when y=0 so
0=-4(x-1)^2+1 add 4(x-1)^2 to both sides
4(x-1)^2=1 divide both sides by 4
(x-1)^2=1/4 take the square root of both sides
x-1=±√(1/4) which is equal to
x-1=±1/2 add 1 to both sides
x=1±1/2
So x=0.5 and 1.5, thus the x-intercept points are:
(0.5, 0) and (1.5, 0) or if you like fractions:
(1/2, 0) and (3/2, 0) :P
Slope of the line passes through (5,10) and (7,12) is 1.
Step-by-step explanation:
Given,
The two points are (5,10) and (7,12).
To find the slope passing through the given points.
Formula
The slope of the line passing through (
) and (
) is 
Now, putting 
we get,
Slope = 
= 
= 1
Hence,
Slope of the line passes through (5,10) and (7,12) is 1.
Answer: What are the options for the functions?
Step-by-step explanation:
Answer:-26.25
Step-by-step explanation:
Answer:
6 Miles and the cost is $4.50
Step-by-step explanation:
3+0.25=0.75x
3+0.50x
6=x
0.75x+?
0.75 x 6= 4.50
