The graph that shows f(c)=0.5|x+3|-2 has been added in the attachment.
<h3>How to solve for the graph</h3>We are given the equation to be f(x) = 0.5|x + 3| – 2
This equation above is an absolute value equation that was entered into a graphing calculator
The absolute value equation is represented by the values
f(x) = a|x - h| + k
in the equation above, h and k are the vertex of the graph
when we compare the absolute value equation with the equation we have in the question, we would have h = +3 and k = -2
Hence we would say that the vertex is 3 , -2.
When the graph was plotted, the vertex is the point that shows that meeting at a point in the point 3, - 2 are shown as the vertex also
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Answer:
D
Step-by-step explanation:
The equation of a line in point- slope form is
y - b = m(x - a)
where m is the slope and (a, b) a point on the line
Calculate the slope of the given line using the slope formula
m = (y₂ - y₁ ) / (x₂ - x₁ )
with (x₁, y₁ ) = (- 2, - 4) and (x₂, y₂ ) = (2, 2) ← 2 points on the line
m = =
=
Parallel lines have equal slopes and using (a, b) = (- 3, 1), then
y - 1 = (x - (- 3)), that is
y - 1 = (x + 3) ← in point- slope form