2. For the quadratic relation, y= -(x+0) (x + 6) explain how to find Equation of the axis of symmetry.

Q: Give the domain and range of the quadratic function with a minimum of -4 at x=8?

A: Consider the given information as, Function with a minimum of -4 at x=8

Q: Find the intersection point of the line 3x-2y 0 and the line passing through the point (-1,0) and…

A:

Q: Find the equation of the quadratic function f whose graph is shown below. (5, 4) s(x) = | 10 12 14…

A:

Q: To put the quadratic function f(x)= ax2 + bx + c instandard form, we complete the____ .

A:

Q: 2. Trace the curve x3 – 6x² + 11x – y = 6. -

A: Given curve is, x3-6x2+11x-y=6 That is, y=x3-6x2+11x-6 1) Domain and Range of given curve:    This…

Q: 9. What on does the discriminant give about a quadratic relation?

A: Given,            Discriminant of a quadratic equation.

Q: Parabola has an equation of symmetry as x = 3,and it's optimal value is (-7) if the parabola passes…

A: We are given that the optimal value is -7 that means it can be either the maximum or the minimum…

Q: what is x-intercept of x^3-2x^2+4x

A:

Q: Find the slope of the curve y = 2x* + 3x + 2x? - 1 at a point where it crosses the x-axis

A: The point where y crosses x-axis the value for y is 0. Find the value for x for which y = 0.…

Q: What is the y intercept of 9-3x over x-5? What is the domain of this fraction

A:

Q: Approximate the solution(s) to x3-2x+2=0 using a graphing utility

A: x3-2x+2=0

Q: Suppose that the x-intercepts of the graph of y=f(x) are 2 and 6. What are the x-intercepts of…

A:

Q: Find the equation of the quadratic function y = ax2 + bx + c whose graph is shown. Select three…

A: Consider the graph: The following coordinates on the graph are:3,0,4,1 and 5,0Point 3,0: a32+b3+c=0…

Q: 3) Find the minimum and maximum values y = 2x5 +5x² on the interval [-2,2]

A:

Q: 2. Select the coordinates of the vertex for the quadratic relation. a. (0, 5) b. (2, 4) c. (1, 1) d.…

A: Given, The quadratic equation  y=-0.5x2+5 We have to find the coordinates of the vertex for the…

Q: Determine the slope of the graph of 3(x2 + y2)2 = 100xy at the point (3, 1).

A: Given: 3x2+y22=100xy we know that slopem at given pointx1,y1 is given by m=dydx|x1,y1 so, we…

Q: The slope of the curve y = 5– 3x² at (-1, 2) is A. 5 С. 6 В. 2/3 D. -3

A:

Q: Find an equation of the line in the form ax+ by = c whose x-intercept is 30 and y-intercept is 6,…

A: The given form of equation of line is:ax+by=cThe x-intercept is 30The y-intercept is 6

Q: Find a formula for the quadratic function whose graph has its vertex at (−3,2) and its y-intercept…

A:

Q: The quadratic relation y = ax* + bx +c can be transformed algebraically or the form into the form

A: Complete squaring method

Q: Find the general equation of the straight line that intercepts the x-axis at 2 and the y-axis at -6.

A: on solving this we get

Q: Find the point of inflection of the curve y = 3x4– 8x3+ 6x2

A: An inflection point is a point on the graph at which the second derivative changes sign.If f…

Q: i am having trouble with  finding the x-intercept of  y = x3 + 2 (-1.26, 0) is the closest i got

A: To determine the x-intercept, we set y equal to zero and solve for x.

Q: 1. Solve the difference x²-2x-8 <0. 2. Calculate the minimum distance from the origo to the line y =…

A: Introduction: When the product of two real quantities is positive, either both of them are positive…

Q: Find the point inflection of the curve 2y=9x²-x³+6

A:

Q: Explain the steps to find x- and y- intercepts of an equation of the form Ax + By = C

A:

Q: Find the equation of the quadratic function f whose graph is shown below. 10 12 14- (5,-2) (6,-4)…

A: Given graph of quadratic function is

Q: Find the point on the line y = 2x that is closest to the point (5, 2).

A:

Q: A traffic report generated by the city council has determined that traffic increases or decreases…

A:

Q: Find the rule of the quadratic function y = ax^2 +bx+c whose graph passes through the points:…

A:

Q: What are the x-intercepts of the quadratic function f (x) = x² + 8x + 12? O -3 and -4 O 2 and 6 O 3…

A: For x intercepts put the value of f(x) = y=0 i.e.,                x2+8x+12=0…

Q: 4. Sketch the graph of the quadratic relation y = x² and in a different colour the graph of y = 2(x…

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Q: Find the equation of the straight line perpendicuar to the line          5x-3y+1=0 and passing…

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Q: Is the relation y = (x + 3) - (3x + 2) linear or quadratic? %3D quadratic linear

A: Solution

Q: Find the point on the line y = 2x + 1 that is closest to the point (5, 2).

A:

Q: Find the point on the line 2x+4y+1=0 which is closest to the point (-4,2).

A:

Q: Find the point on the line whose equation is 2x + y - 2 = 0  that is closest to the origin.

A: we have to find the point on the line whose equation is 2x+y-2 = 0  that is closest to the origin.

Q: Find the equation of a line that intersects the curve y = x² + 14x + 52 at x = -10 and is parallel…

A:

Q: Find the point on the line y = 4x + 3 that is closest to the origin. (х, у) -

A:

Q: Julia has tracked a Bouncy Ball company profits for several years, and her analysis has determined…

A: Put x = 0  for y intercept and simplify.

Q: Approximate the solution(s) to x3 - 2x + 2 = 0 using a graphing utility.

A:

Q: What is the quadratic function given the vertex is (2,3) and the y-intercept is (0,-5) ?

A: See the details solution in below

Q: 14. State the x-intercepts of the quadratic relation y = -2(x+1)(x- 2). 14. a) 1 and -2 b) -2, 1,…

A: The X intercepts of a quadratic function y=f(x) are the values of x for which y=0.

Q: What is the equation of the radical axis of the curves x^2 + y^2 – 1 = 0 and x^2 + y^2 – 6x + 6y +…

A: Let us consider the curve C1 and C2 To determine the Radical axis between the curve solve  C1-C2=0…

Q: The _________________________ in quadratic relations are the differences between the y-values for…

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Q: True or False The y-intercept of the graph of the functiony = f1x2, whose domain is all real…

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Q: 3. Select the coordinates of the vertex for the quadratic relation y = -0.5x² + 5. а. (0, 5) b. (2,…

A: The solution of the problem is given in the next step.

Q: I need to find the y intercept of g(x) = x² - 9x + 20

A: We have to find y intercept

Q: What is the optimal value of the quadratic relation y = - 5 x^2 + 10?

A: