Question

Write the following parabola as a function (-3,-8), (2,12), (4,6)

Answer #1

Write the equation for a parabola with a focus at (−3,−5) and a
directrix at x = −7

1) Write the standard form of the equation of the parabola that
has the indicated vertex and whose graph passes through the given
point.
Vertex: (3, −1); point: (5, 7)
f(x) = __
2) Write the standard form of the equation of the parabola that
has the indicated vertex and whose graph passes through the given
point.
Vertex: (4, 5); point: (0, 1)
f(x) = __
3) Write the standard form of the equation of the parabola that
has the indicated...

the focus of a parabola opening upwards is at the point (-1,7)
the point (11,12) is on the graph of the parabola
1.) what is the directrix
2.) what is the vertex of the parabola
3.) write the equation for the parabola

C++ Write a program for the following below.
Write a function fx(x) = x^3 + 2*x^2 + 3
call it in the main() and calculate values for x = 1.0, 2.0,
3.0, ..., 10.0
Also write a two column data.txt file with x and fx

Which of the following are geometric sequences? Select all
correct answers.
Select all that apply:
3,−2,43,−89,…
8,163,329,6427,…
8,−2,12,−18,…
2,4,6,8,…
8,16,18,20,…

Using MATLAB
Write a user-defined MATLAB function for the following math
function:
y(x)= (-0.2x^3 + 7x^2)e^-0.3x
The input to the function is x and the output is y. Write the
function such that x can be a vector (use element-by-element
operations).
(a) Use the function to calculate y(-1.5) and y(5).
(b) Use the function to make a plot of the function y(x) for -2
≤ x ≤ 6.

Question #15. Write a function file that
determines the following sum using a for loop:
y=i=1n(3-2i)2
Use n as input and test the function for n=100.
Question #15. Write a function file that
determines the following sum using a for loop:
y=i=1n(3-2i)2
Use n as input and test the function for n=100.

Find the point with x ≥ 0 on the parabola y = (1/8)x^2 − 5 that
is closest to the point ( 0 , 1 ).

Consider the quadratic function f, given by f(x) = −x2 + 6x−8.
(i) Determine if the graph of y = −x2 + 6x − 8 is concave up or
concave down, providing a justiﬁcation with your answer. (ii)
Re-write the equation of the quadratic function f, given by f(x) =
−x2 +6x−8, in the standard form f(x) = a(x−h)2+k by completing the
square. Hence determine the vertex of the graph of y = f(x).
(iii) Identify the x-intercepts and y-intercept...

Triangle has vertices, A(6,9), B(4,6) and C(-2,10). Which of the
following is true?
One of these 4
ABC is isosceles
ABC is right-angled
ABC is obtuse
ABC is equilateral

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