Find the x-intercept(s) and the coordinates of the vertex for the parabola y=x+8x+12. If there is more than one x-intercept, separate them with commas.

Q: Find the intersection points of the parabola above and the line -x+y=-4.

A: Given equation of parabola and the line are as below.

Q: For the parabola y2 = 4ax, the line segment joining the two points (a, 2a) and (a, - 2a) is called…

A:

Q: Find the x-intercepts and the coordinates of the vertex for the parabola y = x^2 – 2x + 1. If there…

A:

Q: 3. Select the parabola that matches the quadratic relation y = x + 3x + 2. a. C. b. d.

A: We have to find

Q: Find the vertex and the x-intercepts (if any) of the parabola. (If an answer does not exist, enter…

A:

Q: Find the equation of the parabola whose axis is parallel to the x-axis and passes through the points…

A: We will find out the required value.

Q: Find the largest area (sq. units) of the rectangle whose base is on the x-axis and its other two…

A: NOTE: Refresh your page if you can't see any equations. . width of the rectangle is  and the length…

Q: Find the equation of the parabola with vertex (−3,1) and y-intercept 2(or (0,2)).

A: We have to find the equation of the parabola with vertex (−3,1) and y-intercept (0,2).

Q: Find the vertex of the parabola defined by the following equation: (y – 2)² = –4x – 8 - -

A: Given : y - 22 = -4x - 8

Q: Find the vertex of the parabola answer must be an ordered pair F(x)=2x2-8x+3

A: We will find the vertex by comparing with standard form of quadratic parabola.

Q: Find the equation of the axis of symmetry of the following parabola algebraically y = -x + 8x

A:

Q: Find the coordinates of the vertex for the parabola defined by the given quadratic function

A: We will first express the equation of the parabola in the standard form: y = f(x) = ax2 + bx + c. x…

Q: Find the x-intercept(s) and the coordinates of the vertex for the parabola y=x2-2x-15.

A:

Q: Find the vertex of the parabola. y = 3x² - 1 О (0, (0, –1) O (-1, 3) O (-1, 0) (3, –1) (0, 3)

A: topic - parabola

Q: Find the standard equation of a parabola that has a vertical axis and satisfies the given…

A:

Q: Complete the square to find the vertex of this parabola. x² – 12y – 6x + 5 = 0 3,-

A:

Q: The vertex of the parabola f(x) =(x+3) - 4 is а) (-3, -4) b) (3, -4) с) (3, 4) d) (-3, 4)

A:

Q: Determine the vertex for the following parabola. f (x) = 7x2 + 3x – 4 -

A:

Q: Find the x-intercepts of the parabola given by the equation. (If an answer does not exist, enter…

A:

Q: find the vertex of the parabola. y=-3x2+10

A: Given equation : y=-3x2+10compare with y=ax2+bx+ca=-3b=0c=10

Q: The parabola y =- x² + x +1 opens

A: Let y = ax2+bx+cIf a>0 then parabola open upwardIf a< 0 then parabola opens downward.

Q: b) Determine the concavity, Y-Intercept, X- intercept of the quadratic equation And sketch the…

A: Clearly shows the turning poin of the quadratic equation is (10, -50)

Q: Find the x-intercept(s) and the coordinates of the vertex for the parabola y=x²-8x+7. If there is…

A: The given equation is;  y=x2-8x+7.

Q: Find the x intercepts of the parabola y=x^2-7

A: Given: y=x2-7                                              ..1 we know that at x-axis, y coordinate…

Q: For the parabola y=-4(x+1)^2 - 3, the range is...?

A: For  y=ax2+bx+c  with vertex      (x1  y1)

Q: Find the largest area (sq. units) of the rectangle whose base is on the x-axis and its other two…

A:

Q: Find an equation of the parabola that satisfies the given conditions.Vertex V(3, -2), axis parallel…

A: GivenV(3,-2)y-intercept -1To  find  equation of parabola.

Q: If the vertex of the parabola f (x)= x² +bx+c is at (7, -4), find b and c. (Note: a = 1).

A:

Q: Graph the curves and show that the 2x2-y2=C is a solution to yy'-2x=0.

A:

Q: Determine the direction in which the parabola opens, and the vertex. y2-10y-x+23=0

A: Add x to both sides. So, this is a parabola of the form y=ax^2+bx+c with a=1=positive number. So…

Q: Find the x-intercepts of the parabola given by the equation. (If an answer does not exist, enter…

A:

Q: Find the standard equation of a parabola that has a vertical axis and satisfies the given…

A: Given :-  Vertex (4, -7) and  x - intercept is -4 . To Find the standard equation of a parabola :-…

Q: Find the x-intercept(s) and the coordinates of the vertex for the parabola y=-x²+2x+3. If there is…

A: Given :y=-x2+2x+3

Q: . Find the equation of the parabola with x-intercepts -7 and 3, and that 2, -11). Express your…

A: Given parabola has two x-intercepts, (-7, 0) and (3, 0). Clearly its either upward or downward…

Q: If the parabola whose equation is x = ay2 + by + c has its vertex at (3,2) and a> 0, then it has…

A: The given statement is that" if a parabola whose equation is x=ay2+by+c has its vertex at 3,2 then…

Q: Find the x-intercept(s) and the coordinates of the vertex for the parabola y=x+4x-5. If there is…

A: The given parabola is: y=x2+4x-5...(1)

Q: Find the r-intercept of the parabola y -242x+2 r-intercept

A:

Q: Find the vertex and all of the intercepts for the following parabola: f(x) =-3(x+9)2 +27

A:

Q: Find the x intercepts of the parabola y=3x^2+10x+8

A:

Q: Find the x-intercepts of the parabola given by the equation. (If an answer does not exist, enter…

A:

Q: Find the standard equation of any parabola that has vertex V.

A: Standard equation of a parabola with vertical axis. The graph of the equation y=ax-h2+k for a≠0 is a…

Q: find the vertex of each parabola. y = (x + 3)2 - 1

A: Given that, y=(x+3)2-1 Simplifying the above equation we get, y=x2+6x+9-1y=x2+6x+8

Q: Fnd the x uterceptis) and the coordinates of the vertex for the parabola y=x+10x+25. If there is…

A:

Q: Find the vertex of this parabola y = −0.012t2 + 0.272t + 0.458

A: The standard equation of a parabola is   y=at2+bt+c ,     where a≠0. Now, we have two cases: Case I:…

Q: Consider the parabola y = -3x2+42x-150.  What is the vertex (-7,-3) (-7,3) (7,-3) (7,3)

A:

Q: Find the x-intercepts of the parabola given by the equation. (If an answer does not exist, enter…

A:

Q: Find the r-intercept(s) and the coordinates of the vertex for the parabola y = -r-8z-16. %3D…

A: To find the x-intercept and coordinate of the vertex of parabola

Q: Find the x-intercept(s) and the coordinates of the vertex for the parabola y=x´-8x+12. If there is…

A:

Q: Find the X-intercept(s) and the coordinates of the vertex for the parabola y=-x² - 4x - 4. If there…

A: topic- parabolas

Maximization

Have you ever seen a bridge in the shape of a parabola? Where is its maximum on the bridge? The maximum of that bridge is the highest point on that bridge. The process of finding the maximum of the bridge here is called the maximization.