Graph f(x) = x2 + 4x - 5 by determining whether thegraph opens up or down and by finding the vertex, axis ofsymmetry, and intercepts

Q: If a zero has an even multiplicity what happens at the X intercept?

A: Given query is to provide the information about multiplicity of zero and intercept.

Q: Use the 3 point method or otherwise to sketch the graph of y=2x

A: We can sketch the  graph of y=2x By inserting the values x=0,1,2 Then we get values of y  for…

Q: Determine the vertex- f( x)= x^2 +4x +3 O (2-1) (-2, -1) O (3,-1) O (1,-2)

A: given equation of parabola f(x)=x2+4x+3 we know vertex is the maximum of minimum of a parabola,…

Q: - Find the vertex on the graph of y = 3x² – 9x – 2.

A: Consider the given function as y=3x2-9x-2

Q: Find the maximum number of X- intercepts that f(X) = -9X + 15X– 8X² + 2X + 37 may have. %3D None of…

A: Maximum number o x- intercepts are

Q: Identify and sketch the graph of y = x² + 1 in R³.

A: Any point on the three dimensional coordinate system R3 can be represented by the point: x, y, z. A…

Q: The daily profit in dollars of a specialty cake shop is described by the function…

A: Given:

Q: What are the points of intersection of the graphs of thefunctions f1x2 = - 3x + 2 and g1x2 = x2 - 2x…

A: f(x)=-3x+2 , g(x)=x2-2x-4

Q: Sketch graph of Quadratic equation along its vertex -x²-2x+3

A: Given: y=-x2-2x+3

Q: Determine whether the graphs of the two are parallel.  y+5=4x 3x-y=-5

A:

Q: . Graph f(x) = 2x2 - 4x + 1 by determining whether itsgraph opens up or down and by finding its…

A:

Q: Sketch the graph of ×to the power of 2-2x-3=y

A:

Q: Find the dimensions of the rectangle of maximum area having two vertices on the x-axis and 2…

A: Let the rectangle has its two vertices on x-axis and remaining two vertices on the parabola y=4-x2.…

Q: Why is the point (-4, 1) not a good test point to use when graphing 5x - 2y > -22?

A: Given inequality:                        5x-2y >-22 Test point:   (-4, 1)

Q: Sketch the graph of y=2x^2-16x+30  Label the vertex and the x and y intercepts.

A: The given function is y=2x2-16x+30. Rewrite the above equation as follows.…

Q: Identify the vertex and leading coefficient. Given f(x) = 5(x+2)2 -5 Vertex: Leading coefficient:

A:

Q: Use the five-step strategy to graph f(x) = x3 - 3x2.

A: The given function is x3-3x2 The main objective is to plot a graph for the given function x3-3x2…

Q: Find the relative maximum and relative minimum points of the graph y = 3x3 + 2x2 – 11x

A: We use second derivative test to find relative maximum and minimum points

Q: 4- Graph the function: |3x2 + бх — 24 x* + 4x – 5 -

A: See the attachment

Q: Use the guidelines of the section to make a complete graph of ƒ. ƒ(x) = x - 3x2/3

A: Given function is fx=x-3x23.

Q: Use symmetry to sketch the graph of y = x2 − 4.

A: To graph y=x2-4

Q: If the revenue function is           R=500x-2x2  a)  Find the vertex .  b) What is the maximum…

A: Given revenue function is                                                              R=500x-2x2…

Q: Sketch the graph of y = - 1/3x3 + 3x2 - 5x.

A: Given: y=13x3+3x2-5x

Q: Express y=-2x2+6x+12 in completing the square form. Hence, find the maximum/minimum values of each…

A: We will find out the required values.

Q: y = 4 + x2" Find the vertices of the rectangle with maximum area. Vertices =

A: A rectangle has one side on the axis and other  two verices on the curvey=81+x2

Q: Use the crossing- graphs method to solve the equation below. 3^x + x = 2^x +3

A: We graph y= 3x+x and y=2x+3 using a graphing calculator.

Q: Explain the relationship between the multiplicity of a zero and whether or not the graph crosses or…

A: We have to determine the relationship between the multiplicity of a zero and whether or not the…

Q: The graph of y = -9|x+3|-5 can be obtained from the graph of y= |x| by shifting horizontally…

A: Given

Q: 4こCx15)(xt4)

A: Given that y = (x + 5)(x + 4) we need to find it's vertex form. Since y = (x + 5)(x + 4) = x2 + 9x +…

Q: Find the maximum and minimum points and point of inflection of y = x* - 24x2 + 75.

A:

Q: Find the maximum and minimum points in the curve, and identify intervals where the function is…

A:

Q: Find the x coordinate of the vertex: f(x)= 3x-4x+1 %3D

A:

Q: Find the 2eros and graph 4=-x5-x年ay

A: Given equation, y =-x5-x4+2x3+2x2-x-1To find zeros of equation, equate it to…

Q: Sketch the graph of y = x 2 + 4x + 6 by plotting the minimum point, the y-intercept, and one other…

A: Since the leading coefficient is 1, which is positive. So this parabola will have its minimum value…

Q: ysfx- 2 y< -4x+ 4

A:

Q: Find the maximum number of turning points that f(X) = - 7x6 + 5X3- 10X² + 6X + 13 may have. 6. None…

A: The turning point of a graph can be defined as it is a point where the graph changes from increasing…

Q: Use the guidelines of this section to make a complete graph of ƒ. ƒ(x) = x3 - 6x2 + 9x

A: Given that ƒ(x) = x3 - 6x2 + 9x. We  need to sketch the graph for the above function.

Q: find the x-intercepts of the graph of y = 3x2 - 5x - 8

A: Consider the given graph.

Q: y= 3x+6 on graph

A: Substitute different value of x and calculate y, we getAt x =-2, y = 0At x = -1, y = 3At x = 0, y =…

Q: Find the value of x that results in a maximum value of y if -2=x^2+y^2-4x+4y?

A: The given equation is -2=x2+y2-4x+4y. To find the value of x that results in a maximum value of y,…

Q: Here is a graph of x^2-2x-15=0   Where are the solutions in this graph? Describe their location on…

A: We have given a graph of x^2-2x-15=0 We have to find the solutions of this graph

Q: Is the graph of r(x) = -8x3 – 7x² + 2x +3 concave up or down at the point with r-coordinate –2?…

A:

Q: Describe the graph of f(x) = 2x2 + 8x+7 and identify the vertex. %3D

A:

Q: Find the maximum and minimum points for y = x^5 -5x^3 -20x – 2

A:

Q: Draw the graph of the problem and comment the solution.                Max z = 10x1 +   20x2…

A: Problem isMAX Zx =  10 x1 + 20 x2subject to2 x1 + 6 x2 ≤ 102 x1 + 4 x2 ≤ 164 x2 ≤ 8x1    ≥ 5and…

Q: Find the vertex and the zeros from the graph of y = x2 – 4.

A:

Q: The Minimum point of y = 3x+6

A: Find out the minimum point of the function.

Q: Use the guidelines of the section to make a complete graph of ƒ. ƒ(x) = x3 - 3x2 - 144x - 140

A: Given a function, f(x)=x3-3x2-144x-140 We need to graph the above function.