The function that is graphed is y = |x -2| + 3. The correct option is D. y = |x -2| + 3
<h3>Absolute value graph</h3>
From the question, we are to determine the function for the given graph
From the graph,
When x = 2, y = 3
The equation that satisfy this condition is
y = |x -2| + 3
NOTE: This function satisfies all the points on the graph
Hence, the function that is graphed is y = |x -2| + 3
Learn more on Absolute value graph here: brainly.com/question/17082317
#SPJ1
The only point which is a solution is C
Hello :
<span>-3 = x² + 4x+ 1
x²+4x+4=0
a=1 and b= 4 c= 4
</span><span>b^2 - 4ac = (4)²-4(1)(4) =0
one solution : -b/2a = -4/2 = -2
note : </span>x²+4x+4=0
(x+2)² = 0
x+2 = 0
x= -2
<h3>
Answer ↓</h3>
y=-2x+5
<h3>Calculations ↓</h3>
First of all we need to determine the slope of the line perpendicular to y = 1/2x - 5 .
The slopes of perpendicular lines are opposite reciprocals.
So we take 1/2 , turn it over , and change it's sign :
The slope of the line perpendicular to y = 1/2x-5 is -2 .
Since we're also given a point that the line crosses , we can write the line's equation in point - slope form :
y-y₁=m(x-x₁)
y-7=-2(x-(-1)
y-7=-2(x+1)
Now convert to slope intercept :
y-7=-2x-2
add 7 on both sides :
<h3>y = -2x+5</h3>
Answer:
gradient = 1
y-intercept = 4
Step-by-step explanation:
the equation for a linear graph is y = mx+c, where m is the gradient, and c is the y-intercept.
hence, the gradient of the equation is 1 and the y-intercept is 4.
