Suppose the point (2, 4) is on the graph of y = f(x). Find a point on the graph of the given function. y- 3f(x)

Q: Use the graph of f(x) = x2 to obtain the graph of h(x) = (x + 1)2 - 3.

A: To use the graph of f(x) to obtain the graph of h(x).

Q: Use the graph of f(x) = 2x to obtain the graph of g(x) = 2x + 1.

A: g(x)= 2x + 1 = f(x)+1 This means f(x) will move 1 unit up to make g(x). Graph of f(x) is:

Q: Sketch the graph of the function y=f(x)=1-x with domain [-1, 1] and range [0, 1]. Find the domain…

A: What is Domain and Range of a Function: For a function depending upon a single independent variable,…

Q: 2) y=-5+ Vx+ 1

A:

Q: If f(x) = x3 - 2x - 5, find f(2) and f(3). Then explain why the continuous graph of f must cross the…

A: Given  The function is f(x) = x3 - 2x - 5 .

Q: Find the slope of the graph of the function at the given point.

A:

Q: Suppose the point (6, 11) is on the graph of y=f(x). Find a point that is on the graph of the…

A: Given:     y= f(x) Point: ( 6 , 11) Find point for y = f(2x)

Q: 3x-x - Show that the function y= 1+x? odd or even.

A:

Q: The graph of the function f(x) = ax2 + bx + c has vertex at (1, 4) and passes through the point ( -…

A:

Q: If f(x) = 0.5* and g(x) = 0.3* then the graph of f(x) will be the graph of g(x) when x > 0. %3D

A: f(x)=0.5^x g(x)=0.3^x x>0 graph of f(x) will be above the graph of g(x)

Q: Use the graph of y = f(x) to graph y = f(-x) + 3. (0, 4) (3, 2) (-2, 0) 1- -4-3-2-1, 2 3 4 -2- -3.…

A: Given graph: y=f(x) We need to graph y=f(-x)+3

Q: suppose (-2,1) is a point on the graph of y=f(x). what is a point that will be on the graph of…

A: Topic - functions

Q: Find the intervals of increasing/decreasing of the function and also find the local maxima and local…

A:

Q: Use the graph of f(x) = 3x to obtain the graph of g(x) = 3x+1.

A: To determine: Graph of g(x)=3x+1 using the graph of f(x)=3x

Q: Find the point on the graph of the function that is closest to the given point. f (x) = Vx - 5 (12,…

A:

Q: Find the maximum or minimum value of the function.

A: Given fx=3-x-12x2

Q: Use the graph of f(x) = lxl to obtain the graph of g(x) = lxl - 4.

A: Given function is fx=x. To transform gx=x-4 from the graph of fx=x. Since the graph of g has -4,…

Q: Find the points on the graph of the function that are closest to the given point. f(x) = x² – 4,…

A:

Q: Find the points on the graph of the function that are closest to the given point y = x2 − 2,     (0,…

A:

Q: 1-x 4. Determine if the equation y=- is a x² -2x function

A:

Q: Use the function’s equation f(x) = -x2 + 14x - 106, and not its graph,to finda. the minimum or…

A:

Q: Select the graph of the function. f(x) = In(x+9)

A: Given function, f(x) = ln(x+9) To be found : correct graph of function

Q: Find the points on the graph of the function that are closest to the given point y = x2,       (0,…

A:

Q: Find a function f whose graph is a parabola with the given vertex and that passes through the given…

A: The standard equation of the parabola having vertex at (h, k) is given by, y-k=a(x-h)2

Q: Suppose the point (2,4) is on the graph y=f(x). Find a point on the graph of the given function.…

A: y=f(x)+4 is 4 units higher than y=f(x).

Q: If f(3) = 13, then the point (3, is on the graph of f. %3D

A:

Q: S [-x], if – 1<x <1 x² – 4x, Sketch the graph of f(x) otherwise

A: Given that: fx=-x, if -1≤x≤1x2-4x, otherwise   Note: x = The greatest integer function ⇒ The…

Q: If f(x) = kx' + x² – kx +2, find k such that the graph of f contains the point (2, 12).

A:

Q: Find the points on the graph of the function that are closest to the given point. f(x) = x2,…

A: To determine the points on the graph of the function that are closest to the given point.

Q: Determine where the graph of the function is concave upward and concave downward and find all…

A:

Q: The graph of a quadratic function f passes through the points (−2, 4), (1, 1) and (5, 0). What is…

A:

Q: Find the absolute maximum and minimum values of the following function on the given interval. Then…

A:

Q: Find the points on the graph of the function y = x^2 + 5 that are closest to the point (0, 3).

A: Here we can use application of derivatives ti find the closest point.  Here we want to minimise the…

Q: Find the length of the graph of the function y /3-/3 on the interval [1, 8]. %3D

A:

Q: Find a function f whose graph is a parabola with the given vertex and that passes through the given…

A:

Q: The quadratic function which describes the given graph is f(x)= (Type an expression.)

A:

Q: The quadratic function which describes the given graph is f(x) (Type an expression.)

A: Here we have to find the equation of the quadratic function.

Q: Find the point on the graph of the function f(x) = (x + 5)2 that is closest to the point (1,3). %3D

A:

Q: Use the graph of y=f(x) to graph the given function. 4 y = f(x) -3 -2 -2- -3 -4- y=f(-x) 4. 3- 2-

A: Please see the below picture for detailed solution.

Q: Use the graph of y=f(x) to graph the given function. 4 3 2- -3 -2 -1 3 y= f(x) -1- -2- -3- ソ=f(-x) y…

A:

Q: Find the points on the graph of the function that are closest to the given point. f(x) = x², (0, 2)

A: Given: f(x)=x2 ,        0,2

Q: Find the maximum and minimum limits of the function X-2 (x + 2)²

A: Explanation of the answer is as follows

Q: Suppose (12,4) is a point on the graph of y=f(x). What is a point that will be on the graph of…

A: Given that f(12) = 4  We will use this fact to find the answer as shown below

Q: Determine the intercepts of the graph of f(x) = -4x - and 0, 16 (3,0) and 0, and 0, 16 0 and 0, 16 O…

A: Please refer the attached image for complete solution.THANK YOU.

Q: The graph of function f(x) = x – 9x² + 7x is concave upwards on (-0, c0) O (-∞, 3) O (3, 0) O None

A: Given function is  f(x)= x^3 - 9x^2 + 7x

Q: Use the graph of y=g(x) to graph the given function. ygl)

A: Given graph:

Q: Find the open intervals on which the function is increasing or decreasing.       y = x√(16 − x2)

A: The given function is , y=x16-x2

Q: Suppose (1, 3) is a point on the graph of y = f(x).• What point is on the graph of y = f(x + 3) −…

A: y = f(x + 3) − 5 means y=f(x) moved 3 units left and 5 units down. (x,y) -&gt; (x-3 , y-5). So,…

Transformation of Graphs

The word ‘transformation’ means modification. Transformation of the graph of a function is a process by which we modify or change the original graph and make a new graph.

Exponential Functions

The exponential function is a type of mathematical function which is used in real-world contexts. It helps to find out the exponential decay model or exponential growth model, in mathematical models. In this topic, we will understand descriptive rules, concepts, structures, graphs, interpreter series, work formulas, and examples of functions involving exponents.