B
given f(x) in factored form, equate to zero for x-intercepts
(x - 8)(x - 4) = 0, hence
x = 4, x = 8 ← x- intercepts
The vertex lies on the axis of symmetry which is situated at the midpoint of the x- intercepts
x- coordinate of vertex = = 6
f(6) = (6 - 8 )(6 - 4 ) = -2 × 2 = - 4 ← y-coordinate
vertex = (6, - 4 ) → B
Answer:
y=2x-3
Step-by-step explanation:
Hi there!
We are given the points (0, –3) and (4, 5)
We want to find the equation of the line between these points
There are 3 ways to write the equation of the line, yet the most common way is slope-intercept form, which is y=mx+b, where m is the slope and b is the y intercept
To write the equation of the line in this way, we need to first find the slope of the line
The slope can be found using the formula , where
and
are points
We already have 2 points, but let's label their values to avoid confusion and mistakes when calculating.
m=
m=
Simplify
m=
m=
Divide
m=2
We found the slope of the line.
Here is the equation of the line so far:
y=2x+b
Now let's find b
As stated before, b is the y intercept of the line, which is the point where the line passes through the y axis; the value of x at the y intercept is 0
One of the points we were given (0, -3) is actually the y intercept of the line!
The value of b is the value of y at the y intercept; in this case, b is equal to -3
Now substitute -3 as b in the equation.
y=2x-3
Hope this helps!
See more on this topic here: brainly.com/question/27172025
