The height of a cable that runs between two supports on a suspension bridge can be modeled by a quadratic function () where is the horizontal distance from the first support. The cable is attached to each support at a height of 112 feet. The distance between the supports is 72 feet. The cable is at its lowest height of 10 feet halfway between the two supports. what is the vertex
axis of symmetry
domain
range
x and y-intercepts

89

step-by-step explanation:

equal to

step-by-step explanation:

step-by-step explanation:

let

we know that

the y-intercept is the y-coordinate of the point when the value of x is equal to zero

so

the y-coordinate of the point a is the y-intercept

the answer part a) is

the value of y-intercept is

part b) find the slope m

we know that

the value of the slope is equal to

substitute the values

therefore

the answer part b) is

the value of the slope is equal to

the general answer is

the slope is

the value of y-intercept is