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Which graph represents the function h(x) = |x – 3|?
On a coordinate plane, an absolute value graph has a vertex on the x-axis in the first quadrant.

Respuesta :

a69
First, notice that any absolute value function has a “v” shape. Then remember that the formula for an absolute value function is f(x)=a |x-h| k . The a in the formula stands for how wide or narrow the graph will be, but since this equation doesn’t have “a” in it, don’t worry about it. The h stands for if the graph is left or right of the parent function f(x). However it’s the opposite of what is says, for example in this case, the h is -3, so therefore the graph will be 3 to the right. Finally the k stands for if the graph is up or down, since there is no k, the graph will be on the x axis. You can find the vertex by looking right at the equation. H(x)= |x - 3| the vertex is (h,k) so since we know you take the opposite of -3 and the k is 0, the vertex is (3,0) then just graph it how you would graph f(x) = |x| , except with the point (3,0) being the lowest instead of (0,0)

Graph of Modulus

The graph of a modulus or absolute value function is in a form of a 'V' shape whose vertex depends upon the coordinates. The equation for the graph is given as,

[tex]y = h|x-a| + b[/tex]

where,

(a, b) are the coordinates of the vertex of 'v' in the form of (x, y),

And h shows how wider or lean will be the function, for h=0, it is a straight line, while for a negative value the graph will face downwards and opposite for a positive value.

Given to us

y = |x-3|

On the coordinate plane

The graph will be in the shape of a 'V' whose vertex will lay at the coordinates (3, 0). As the value of a is 1 the graph will face upwards. As shown below on the graph.

Learn more about Modulus:

https://brainly.com/question/18106342

Ver imagen ap8997154

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