a) Write the equation of the function whose parent function is f(x) = x ^ 2 and has been translated 3 units to the right, reflected over the x-axis, horizontally scaled by a factor of 2 and translated 4 units up.

Q: A cat is falling from a branch. Its height t seconds after it fell is given by the function h(t) =…

A: We have given height  ht=-16t2+5 To get for what height cat was falling  Put t=0 h0=0+5 h0=5 height…

Q: determine where the function is concave upward and where it is concave downward    g(x)= -X^2+7x+8

A:

Q: V2 – 3x4 1 x² -4

A: We have to find the derivative

Q: Which of the following is NOT a function?   A.y = 2x^2 + 3   B.B = {(1,2) (2, 3) (3,5)   C.x^2 + y^2…

A: A function is relation between the input and output value such that it follows some conditions. The…

Q: y = 40(-7(x-10))+ + 9

A:

Q: an equation for each horizontal translation of f(x)=x^2+3 8) 3.7 units ri

A:

Q: A rancher wants to fence in an area of 2,000,000 square feet in a rectangular field and then divide…

A: Let, l = the length of one side of the rectangular field w = the length of the other side.

Q: Complete the table of values for the function f(x)=−1/4x^2   x f(x)=−1/4x^2 −4   −2   0   2   4

A: f(x)=−1/4x^2

Q: Which of the following functions is odd? y=x^3-2 y=2x-1 y=x^3-x y=x^4-x^2 y=x^4-x^3

A:

Q: Determine which of the following functions are entire. Justify your answer:…

A: The objective of the question is to determine if the given function is entire. An entire function,…

Q: Given the function f(x)=x^2 what is a modified function that opens down with a vertical shift of 4…

A: using rule for shifting of curve

Q: What is the range and domain of y=x^2

A:

Q: What is another method for combining functions?

A: The functions can be combined by method of composition. That is, Let f:A→B & g:B→C be two…

Q: Determine if each represents a func {(1, 1), (2, 2), (3, 5), (4, 10), (5, 15)}

A: Since you have asked multiple questions in a single request so we will be answering only first…

Q: Find the equation of the line which is at a perpendicular distance of 5 units from the origin and…

A:

Q: find the equation of the inverse of one-to-one function  n(y) - y^2+9, y≥ 0

A: We know that x = y2 + 9 is a parabola with the vertex at (9, 0). The graph that is shown below…

Q: In reference to the following function: f(x) = x^2 + 7x + 13 / x + 4 What is the domain and…

A: Sol

Q: Based on data from Hurricane Katrina, the function defined by w(x) = -1. 19x +990 gives the wind…

A:

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.