Answer:
Option B is the correct choice.
Step-by-step explanation:
The graph is attached below.
We have to find the 
intercept meaning the value of the point on
when 
So we will put the value of zero 
instead of 
in our given equation.
So here we have solved it algebraically.
Putting
Multiplying 
both sides.
Adding 
both sides.
Dividing with 
both sides.
So the x-intercept of the given equation is which can be written as 
in terms of coordinates.
Option B is the correct choice.
Vertex form of a parabola
<span>y = a (x - h)^2 + k </span>
<span>where (h, k) is the vertex </span>
Substituting the values of h and k.
we get,
<span>y = a(x + 4)^2 + 2 </span>
<span>substituting in the point (0, -30) for x and y
</span><span>-30 = a (0 + 4)^2 + 2
</span>solve for a,
<span>-30 = 16 a + 2 </span>
<span>-32 = 16 a </span>
<span>-2 = a </span>
<span>y = -2(x + 4)^2 + 2 </span>
<span>Put y = 0 </span>
<span>-2 x^2 - 16 x - 30 = 0 </span>
<span>-2(x^2 + 8 x + 15) = 0 </span>
<span>x^2 + 8 x + 15 = 0 </span>
<span>(x + 3)(x + 5) = 0 </span>
<span>x = -3
x = -5</span>
Answer:
Step-by-step explanation:
first solve for y=mx+ b format
y-3= 1/2(x+2)
y-3= 1/2x+1
y= 1/2x+4
slope is 1/2; y-intercept is 4
