Q.3 (a) for the following quadratic equation, determine (i) which way parabola open (ii) the coordinates of vertex (iii) the roots of the function P = 90x – 200 – x²

Q: Which of the following equations is the equation of tangent to the parabola y2 = 2x + 8 at point…

A: The given equation of parabola is: y2=2x+8

Q: If a ball is thrown upward at 49 meters per second from the top of a building that is 30 meters​…

A: given St=30+49t-4.9t2

Q: Q1 Solve the following questions. a) Sketch the graph of quadratic function, and indicate vertex,…

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

Q: Find the coordinates of the vertex for the parabola defined by the given quadratic function : f(x) =…

A: We compare  f(x) = 3x2 - 12x + 1 with  f(x) = ax2 +bx + c  So, a=3, b=-12, c=1

Q: 7. Determine all values of a that will cause the parabola y=ax² +10x+1 to cross the x-axis at two…

A: 7) y=ax2+10x+1 ...................eq (1) For parabola to cross the x- axis put y=0 0=ax2+10x+1…

Q: 2 Find the vertex of the following parabola. a) f(r) = 22 – 2r + 5 b) f(r) = 322 + 12r – 9 c) f(r) =…

A:

Q: The equation of the parabola that has a vertical axis of symmetry, touches the x-axis and has its…

A: Given, The parabola has vertical axis of symmetry touches the x axis and has its focus at 1, 7 We…

Q: ,2 The vertex of the parabola of f(x)=x²+x is

A: Equation of the parabola :y=a(x-h)2+kwhere (h,k) = vertex of the parabola

Q: 2=2X Find the point that is close' to the pont'(,4) on the parabola y

A: Explained below

Q: Consider the graphs of equations of the quadratic form = ax² + bx + c that have two x-intercepts.…

A: First, we will plot the graph of quadratic equation ax2+bx+c=0.    Axis of parabola i.e. axis of…

Q: 16.) A woodland jumping mouse hops along a parabolic path given by y=-0.2x+ 1.2r where x is the…

A: We will find the maximum value of y, which will represent the maximum height that the mouse can jump

Q: 1 + 3x – 5 into the standard form and 2. (a) Bring the quadratic function f(x) = -a² - identify the…

A:

Q: Given f(x) = x² – 16x + 55, a. Does the graph of the parabola open upward or downward? b. Find the…

A: Given f(x)=x2-16x+55 Let y=f(x) Then y=x2-16x+55…

Q: A parabolic arch has an equation of 3x 2 + y – 300 = 0. a) What is the maximum height of the arch?…

A:

Q: 25. What are the coordinates of the vertex of the parabola given the function f(x) = x2 + 8x-3 %D

A: f(x) = x2+8x-3 From the above equation we can see that the highest power of y is 1 and x is 2. This…

Q: Find the coordinates of the vertex for the parabola defined by the given quadratic function : f(x) =…

A: Equation of parabola: f(x)=a(x-h)2+k Where (h, k) is the vertex of parabola.

Q: Consider the following quadratic function. f(x) = −3x2 + 4x − 7 Find the vertex.   I end up…

A: Given:

Q: Given the parabola f(X) =-X²+10x +14, find the following for this parabola: A) The value of f(-1) =…

A:

Q: Given the general quadratic equation Ax? + Bxy + Cy² + Dx + Ey+F = 0, which of the following will…

A: Ax2+Bxy+Cy2+Dx+Ey+F=0  represent parabola if  ?either x or y is squared but not both, and B=0.

Q: Please confirm if the selected answer is correct ?

A:

Q: ind the x-intercept(s) and the coordinates of the vertex for the parabola y=-x´-10x-25. If there is…

A:

Q: 17. The equation of the parabola is x² + 14x + 16y + 1 = 0. Solve the following. pranaara Tomuror…

A:

Q: Q.3 (a) for the following quadratic equation, determine (1) which way parabola open (ii) the…

A:

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: 2. (a) Bring the quadratic function f(x) 1 x² + 3x 5 into the standard form and identify the axis of…

A:

Q: 2. Write the general equation of the parabola with directrix at x FG,-1), and v (. -1). 2

A:

Q: Find the y-intercept and any x-intercept(s) of the parabola with equation y = -(x + 7) + 16. If the…

A:

Q: Let f (x) = 1x² +6x+8. Find the x-coordinate for the parabola's vertex. Round your answer to the…

A:

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: 3) Find the vertex of the parabola f(x) = 4x² + 40x+104. Write in correct (x, y) form.

A:

Q: 8. Find the function that will generate the points on a parabola that opens down, has a base of 4…

A: A parabola has base 4 and height 6

Q: Find the axis of symmetry of the parabola defined by the given quadratic function. f(x)=6x2-12x+1

A: Find the axis of symmetry of the parabola defined by the given quadratic function.f(x)=6x2-12x+1

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

A: The required solution is

Q: Find the coordinates of the vertex for the parabola defined by the given quadratic function. 2(x -…

A:

Q: find the coordinates of the vertex for the parabola defined by the given quadratic function. f(x) =…

A: The equation for a parabola is written in vertex form as, In vertex form the vertex is given as…

Q: Determine the a coefficient of the following quadratic equation and determine if this quadratic has…

A:

Q: Find the coordinates of the vertex for the parabola defined by the given quadratic function. f(x)…

A: The quadratic function is given by fx = 2x-32+1 To evaluate : The vertex of the parabola defined by…

Q: 25. Find the vertex of the parabola given by the quadratic function y = f(x) = 2x² - 4x + 1 %3D A)…

A:

Q: To y=x²-12x + 20 Parabola Wite the intersection point of the tanpent lines drawn from (2,0) and…

A: Consider the given parabola and find the derivative of the parabola.…

Q: The parabola y = Px² + Qx + R_passes through the coordinate (1,1) and has b. Determine the values of…

A:

Q: a. y = y==x²-2x +3 b.y= -x2 - 2x-3 Cy=x² -2x-3 dy = 2x2 +2x +3

A: The following quadratic equations is a parabola that contains a maximum

Q: Find the x intercept(s) and the coordinates of the vertex for the parabola y = x^2 – 2x + 1. If…

A:

Q: Given x2 = 4py with p> 0, the parabola opens (upward/downward/left/right).

A:

Q: Q.3 (a) for the following quadratic equation, determine (i) which way parabola open (ii) the…

A: (3)(a) the given function is: P=90x-200-x2 (i) we have to determine which way the parabola open.…

Q: dy 1. (y–1)(y² +1)

A:

Q: 1. Find the point on the parabola y = 3 – x² that is closest to the point (6, 0).

A:

Q: Find the coordinates of the vertex for the parabola defined by the given quadratic function : f(x) =…

A: We have to find coordinates of the vertex for the parabola defined by quadratic function:…

Q: Solve the following problems. Show the complete solution. What is the equation of the line to the…

A: For tangent line first  find the slope of the line at that point ..then find the equation of line

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.