a) f(x) is a quadratic function. The graph of f(x) decreases on the interval (-0, –2) and increases on the interval (2, ∞). It has a y-intercept at (0, 4). What is a possible equation for f(x)? b) Is there only one quadratic function, f(x), that has the characteristics given in part a)? c) If f(x) is an absolute value function that has the characteristics given in part a), is there only one such function? Explain.

Q: Imagine a graph (not pictured) of a quadratic function g(x): Which of the following would be a…

A: Imagine a graph (not pictured) of a quadratic function g(x) and the new graph g(x+2)

Q: The Range of the quadratic function f(x) = -x² + 18x + 52 is O [-9, 00) O [52, 0) O (0,9] O (-∞0,…

A:

Q: Use the graph attached. The linear function is f(x). The quadratic function is g(x). Use the…

A:

Q: The Range of the quadratic function f(x) = -x² + 9x + 53 is O (0,4] O (-∞,53] O [53, ) O [-53, 4] O…

A: This question is based on finding range of quadratic function which is a downward opening parabola

Q: A. y = - (x – 2)2 B. y = -(x - 2)2 C. y = (x + 2)? D. y = -(x + 2)² 7. A. y = -4(x + 2)² + 1 B. y =…

A: General form of parabola is: y=ax-h2+k........(i) , where h,kis coordinate of vertex and x,y is any…

Q: 1) A function is linear for x 2. This function has the following values: 9-4) = 8; A2) = 5; A4) =…

A: Consider the given statements : Put these values in the functions to check whether the functions…

Q: 5. a. For all real numbers x and y, if x is rational and y is irrational, then x + y is irrational

A: We prove it by contrapositive statement that for any two real numbers x and y, we will prove that if…

Q: 8. The roots of the equation of a quadratic function are x = 3 and x = 5. Find an equation for the…

A:

Q: Suppose you are climbing a hill whose shape is given by the equation z = 2,000 - 0.005x - 0.01y,…

A:

Q: Form a quadratic function f(x) for which f(1)3D0, f(-1)= -4, and f(2)= 5. The equation is f(x) =-

A: Given : fx is a quadratic equation. f1 = 0f-1 = -4f2 = 5

Q: 2(×+2)^2-18=0 is the equation resulting from setting a quadratic fuction f(×) equal 0 and completing…

A: A parabola having axis of symmetry along y-axis or a line parallel to y-axis is given by…

Q: f(x)=2x+5 , then the graphs of y=f(x) and y=squareroot f(x) will have two common points. a. What…

A:

Q: If a graph is a parabola ['horseshoe' shape] opening up with a vertex [starting point] at (-5, -7)…

A:

Q: Which is the graph of the quadratic equation y=x+ 3 ? a. С. 10 10 -10 10 10 b. d. 10 .... ... ....…

A:

Q: 1. The vertex point of the quadratic function f(x) = -2(x - 3)? – 4 is given by: A) V(-2,3) B) V(3,…

A: