Answer:
The equation of parabola is given by : 
Step-by-step explanation:
Given that vertex and focus of parabola are
Vertex: (4,-3)
Focus:(
,-3)
The general equation of parabola is given by.
, When x-componet of focus and Vertex is same
, When y-componet of focus and Vertex is same
where Vertex: (h,k)
and p is distance between vertex and focus
The distance between two points is given by :
L=
For value of p:
p=
p=
p=
p=
and p=
Since, Focus is left side of the vertex,
p= is required value
Replacing value in general equation of parabola,
Vertex: (h,k)=(4,-3)
p=
First, let's factor the equation to make it easier to solve for the intercepts:
f(x) = x² + 12x + 32
f(x) = (x + 8)(x + 4)
To find the x-intercepts of a function, set the y value (f(x)) to 0:
0 = (x + 8)(x + 4)
x = -8, -4
Similarly, to find the y-intercept, set the x values to 0:
f(x) = (0 + 8)(0 + 4)
f(x) = (8)(4)
f(x) = 32
*Note that you can see 32 as the y-intercept in the parabola's original equation
Answer:
x≥1/2
Step-by-step explanation:
Answer:
9.75
Step-by-step explanation:
Answer:
The points when graphed are: (3,0) and (0,-5)
Step-by-step explanation:
I know that these points are a solution to the graph because it has one x value and one y value that stays constant.
For an example, if we used an X and Y table we could see that each variable has one other variable.
This is how it look like when graphed:
