Answer:
The solution is attached in the picture below
Step-by-step explanation:
The equation of a parabola whose vertex is (0, 0) and focus is (1 / 8, 0) is equal to x = 2 · y².
<h3>How to derive the equation of the parabola from the locations of the vertex and focus</h3>
Herein we have the case of a parabola whose axis of symmetry is parallel to the x-axis. The <em>standard</em> form of the equation of this parabola is shown below:
(x - h) = [1 / (4 · p)] · (y - k)² (1)
Where:
- (h, k) - Coordinates of the vertex.
- p - Distance from the vertex to the focus.
The distance from the vertex to the focus is 1 / 8. If we know that the location of the vertex is (0, 0), then the <em>standard</em> form of the equation of the parabola is:
x = 2 · y² (1)
The equation of a parabola whose vertex is (0, 0) and focus is (1 / 8, 0) is equal to x = 2 · y².
To learn more on parabolae: brainly.com/question/4074088
#SPJ1
9514 1404 393
Answer:
a. 405
b. -2
c. 5
d. 43
Step-by-step explanation:
I don't like doing arithmetic any more than you do, so I let a calculator do it for me. A spreadsheet works well for this, too. The function values are shown in the attachment.
Put the function argument where the variable is and do the arithmetic.
a. h(4) = 5·3^4 = 405
b. d(2) = 7 -9(2 -1) = -2
c. h(0) = 5·3^0 = 5
d. d(-3) = 7 -9(-3 -1) = 43