Answer:
y = 2x + 10
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Here m = 2, thus
y = 2x + c ← is the partial equation
To find c substitute (- 3, 4) into the partial equation
4 = - 6 + c ⇒ c = 4 + 6 = 10
y = 2x + 10 ← equation of line
Vertex form is
where (h,k) is the vertex.
We can see that the vertex of the graph is at (2,0), and that the graph opens downwards, but does not look stretched at all.
Therefore,
a = -1
h = 2
k = 0
and our vertex form equation is
which is answer A
The Piecewise -Defined function and how it is graphed is given below..
<h3>What is the explanation of how the
Piecewise -Defined function is graphed?</h3>
Given the function in the attached image,
- The Graph of f(x) = -x + 3 is drawn for x less than 2 because x is bounded.
- The Graph of f(x) = 3 is draw for x greater than and equal to 2 and less than 4 because x is bounded.
- The Graph of f(x) = 4 - 2x is draw for x greater than equal to 4 because x is bounded.
See the attached Graph for better understanding.
- f(x) = -x + 3 is coded purple.
- f(x) = 3 is coded orange.
- f(x) = 4 - 2x is coded green.
Learn more about Piecewise -Defined function:
brainly.com/question/18859540
#SPJ1