If someone could help me with this problem

Mathematics

1 answer:

liraira [26]2 years ago

5 0

The equation of the given Absolute Value Function is; y = |-2x + 4|

<h3>How to interpret Linear Graphs?</h3>

We can see that the given graph is a Linear graph but since it is V-shaped, we can say that it is a graph of an absolute value function.

Now, from the graph we see that;

At x = 0, y = 4

At x = 1, y = 2

At x = 2, y = 0

At x = 3, y = -2

At x = 4, y = 0

At x = 5, y = 2

We can see that the y-intercept is at y = 4.

Slope between two consecutive points is;

(2 - 4)/(1 - 0) = -2

Equation is; y = -2x + 4

Now, this is an absolute value function and as such we will write it as;

y = |-2x + 4|

Read more about Linear Graphs at; brainly.com/question/4025726

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The main cables of a suspension bridge are ideally parabolic. the cables over a bridge that is 400 feet logn are attached to tow

Novay_Z [31]

Consider the diagram of the problem.

Let the vertex be on the y axis, exactly, at the point (0, 40)

Another point of this parabola is (200, 100), as can be checked from the figure.

The vertex form of the equation of a parabola is :

$y=a(x-h)^{2}+k$ , where (h, k) is the vertex of the parabola,

replacing (h, k) with (0, 40), we have:

$y=ax^{2}+40$

to find a, we substitute (x, y) with (200, 100):

$100=a200^{2}+40$

40,000a=60

a=60/40,000=3/(2,000)

So, the equation of the parabola is $y= \frac{3}{2000} x^{2}+40$