19. What is the graph of the quadratic equation y 2(x- 2)+4 ? A) B) C) D) 4 -2-1 2 3 4 56x 4. 2.

Q: What point on the parabola y=3−x2 is closest to the point ​(3​,3​)?

A: Basic differentiation is required.

Q: 5) Show that the circumference of the circle Y - 1 is 2n x +

A: See the details solution in below

Q: In the general form Ax + By + C = 0, can I immediately determine that theslope is A and the…

A: We will write the given equation in the slope-intercept form.

Q: 2) If you are given two points in space, P1 (X1,yı) and P2 (X2,yz), demonstrate why the distance…

A:

Q: what is the ends of the latus rectum and axis of symmetry of x2-2x-4y-7=0? show solution

A:

Q: What is the vertex of y = Vx + 4+1 O (4, -1) O (4, 1) O (-4, 1) O (-4, -1)

A:

Q: In the xy-plane, a line that has the equation y = c for some constant c intersects a parabola at…

A: in the xy-plane a line that has the equation y=c for some constant c intersects a parabola at…

Q: What is the distance from P(2,4) to 2x-3y+1=0?

A:

Q: The equation of the line tangnet to the graph of 24e^x at x=2?

A: Find the derivative of the given function.

Q: test for symmetry with respect to each axis and tothe originy2 = x3 − 8x

A: Here we have to test for symmetry with respect to each axis and tothe origin y2=x3-8x

Q: Find the length of the chord intercepted by the circle x2+y2-x+3y-22=0 on the line y=x-3

A:

Q: How many common points does the parabola y=x2-2x-2 have with the straight line a) y=2x-6; b) x-…

A: Solving two equations

Q: 2. What is the value of y anytime a parabola intersects the x-axis?

A: It is known that the value of y on x-axis is always 0.

Q: 14. Write an equation of the line that is perpendicular to 3x – 4y = 9 and cont- (-4,-5).

A:

Q: Find the endpoints of the lactus rectum of y^2=-28x

A:

Q: Use the side-splitter theorem to solve for x in the triangle below.

A: Given,

Q: Given the diagram below, what conclusions can you make if M2CBY = 65° and line XY bisects LABC? 65°

A:

Q: 4. What is the axis of symmetry of the parabola y = x = 7 x= -14 y = 28 Ox=28 O x²14x+28?

A:

Q: # 3) Create the equation of the cubic, in standard form, that has x-intercepts of 3, -1, and 2…

A:

Q: , and mz = X+ 20 A (3x) 20 -2 =180 x+20)° What is the value of x? What is the image of the point…

A:

Q: Identify the x-intercept(s) of this parabola. 10 8- 6- 4- -6 -2 2. 6 -4 O (3. 0)

A: x-intercept is the point where the graph crosses the x-axis.

Q: Find the points of intersection between the line x + y - 4 = 0 and the circle x 2 + y 2 = 16.

A:

Q: 51. Show that the shortest distance from the point (x1, yı) to the straight line Ax + By + C=0 is Ax…

A:

Q: The point that is symmetric with respect to the x-axis to the point (2,-5) is _____.

A: The point that is symmetric with respect to the x axis to the point (2,-5) is be found with the help…

Q: 2. What is the vertex of the parabola y = (x + 6) - 9?

A: the general equation of the parabola = (x-a)^2 = 4 c (y-b)  where a and b are the vertices of the…

Q: what is the radius of the circle 4x^2 + 4y^2 = 4y - 8x + 5

A:

Q: What point on the parabola y=(6−x)2 is closest to the point (6​,6​)?

A:

Q: 4. Find the two points of intersection of the circles: x² + y 2 + 5x + y – 26 = 0 ; x² + y ² + 2 x –…

A: Given, The equations of the circles are, x2+y2+5x+y-26=0   ....... (1)  and x2+y2+2x-y-15=0…

Q: Sketch the graphs of the following cubic equations onto graph paper. (x) - х' - Зx? -6х +8 b (x) -…

A: Disclaimer: Since you have asked multiple questions, we will solve the first question for you. If…

Q: Q,9. What point on the parabola y = v2x + 5 comes closest to the ori

A:

Q: what it the ends of the latus rectum and axis of symmetry of y2-4y-2x-4=0? show solution

A: The given curve is: y2-4y-2x-4=0

Q: Find the point on the line y =2x + 3that is closest to theorigin.

A: Given Data The equation of a line is y=2x+3   Consider the point (x,y) on the equation of line…

Q: Find b and c so that y = 7x2 + bx + c has vertex (– 6, 2). - С —

A:

Q: What point on the parabola y = 6 – x is closest to the point (6,6)?

A:

Q: what is parallel to y=-2x+2 that passes through the point (-2,14)

A:

Q: 11) Find the point(s) of inflection for as an y=8x-x³ (point(s) of inflection should be given…

A:

Q: find the ends of the latus rectum, axis of symmetry of x2+20y=0

A: Given  x2+20y=0 Find the ends of lactus rectum and axis of symmetry.

Q: What is the X -intercept of the lihe that passes through points 4,-5) &(7,-8) %3D

A: First we will find the slope.

Q: 5) Show that the circumference of the circle x + Y - 1 is 2m

A:

Q: The parabolic antenna has an equation of y^2 + 8x = 0. Determine the length of the latus rectum.

A: Here we use the standard form of parabola.

Q: 2. Suppose that the graph of y = ax²+bx+c is a parabola which vertex is V (-3, 7), what is the…

A:

Q: Find sides b & c of a special right triangle if x = 30° & a = ". 3y 2 Hippopotenuse Adjacent…

A: Given problem:-

Q: When the 2-D shape is completely drawn, how many points will be inside the 2-D shape?

A:

Q: How many common points does the parabola y=x2-2x-2 have with the straight line a) y=2x-6; b) x-2y=4?

A:

Q: What is the Axis of Symmetry of the parabola represented by y = - = -x² – 3x + 7? O x = 3 O x = -3 O…

A: The axis of symmetry of a parabola is a vertical line that divides the parabola into two congruent…

Q: 2. Find the point on the parabola x+y? 0 that is the closest to the point (0, -3).

A:

Q: 10. At what point on the parabola y = 3 x 2 + 2xisthetangentlineparallel totheline y = 10x -2? Use…

A: Given query is to find the point where tangent line to the parabola is parallel to the given line.

Q: 5. Complete the square and write into graphing form: a. y= x² – 2x +2 b. y = 2x – 4x - -

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.