The graph shows the function f(x) = |x – h| + k. What is the value of k? k = –2.5 k = –A. k = –2.5

Mathematics

1 answer:

miv72 [106K]3 years ago

4 0

<h3>The value of k is -2.5</h3>

<em><u>Solution:</u></em>

The graph of this question is attached below

Given is a graph V shaped two straight lines in graph

The function is given by:

$f(x) = |x-1|+k$

To find: value of k

k is the y-coordinate of the vertex of the function

From graph, vertex is located at (1, -2.5)

Thus,

(h , k) = (1, -2.5)

Therefore,

k = -2.5

Thus value of k is -2.5

You might be interested in

Complete equation describing how X and Y are related.

den301095 [7]

Answer:

$2$

Step-by-step explanation:

Every time the x-value increases by 1, the y-value increases by 2. Therefore, the slope of the line must be equal to $2/1=\boxed{2}$ (rise/y-values over run/x-values). In slope-intercept form $y=mx+b$ , $m$ represents the slope of the line, $b$ represents the y-intercept, and $(x,y)$ represents any point the line passes through.

Since $m$ represents the slope of the line, the value of

While the question only asks for this value, it's good to note that the equation of the function is $y=2x+7$ (find 7 by substituting any ordered pair in the table with $m=2$ ).