A soccer ball is kicked into the air. Its height above the ground is described by the equation y = − 16x² + 48x, where x = time in seconds and y = height in feet. This equation describes the parabola graphed below.   What are the coordinates of the vertex of the parabola? Explain how you found your answer.

Q: A parabola has equation y= 9x2 +x+c . One x-intercept is -2. What is the value of C

A: Given, The equation of the parabola  y =9x2 +x+c  One x-intercept is -2.  We have to find the value…

Q: Find the equation of the axis of symmetry of the following parabola using graphing technology. y =…

A: y=-3x2-18x-39 The graph is,

Q: Find the equation of a parabola, in vertex form.

A: Equation of the parabola in vertex form is given by :y=a(x-h)2+kwhere (h,k) is vertex of the…

Q: Graph the parabola and give its vertex, axis of symmetry, x-intercepts, and y-intercept. y = -2x2 -…

A: The standard form of one of the parabola is y=ax-h2+k where the vertex of the parabola is…

Q: Write an equation of the parabola in the intercept form of 2 and -8 passing through (-6, -4)

A:

Q: If you are given the standard form of the equation of a parabola with vertex at the origin, explain…

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Q: What is the y-intercept of the graph of the parabola whose equation is y = x² – 2x- 8? A (4,0) B…

A: The point where a line or curve crosses the y-axis of a graph.  In other words: find the y value…

Q: y=x2- 3x-8

A:

Q: A soccer ball is kicked into the air. Its height above the ground is described by the equation y = −…

A: The height above the ground is described by the equation, y=-16x2+48x, where x=time in seconds and…

Q: Write an equation for the parabola shown to the right. 16- (0, 5) (2, 6) -12 12 -4-

A:

Q: Find the equation of the parabola given 3 points using quadratic formula. (33,-9) (49,23) (68,3)

A: We have to find the equation of the parabola given 3 points using the quadratic formula. The three…

Q: Find the focus, directrix, vertex and axis of symmetry for the parabola - 12(y + 2) = (x – 2)?. -

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Q: Graph the parabola. -2x+20x-y-47=0

A: -2x2+20x-y-47=0

Q: Write an equation for the parabola shown to the right. 16- K0,10) (- 5,0) -16 16 -16-

A: Let's find.

Q: Solve for the vertex of the parabola equation: x2-4x-12y+52=0, whose Latus Rectum is 12 and is…

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Q: y = 3x² + 6x – 5

A: The function is y=3x2+6x-5

Q: Find the equation of the axis of symmetry of the following parabola using graphing technology. Y = y…

A: To find the axis of symmetry of the parabola.  y = x2 - 32x + 48.

Q: Find the equation of the parabola given 3 points using quadratic formula. (-3,38) (25,51) (-1,65)

A:

Q: The loft in Casa Batlló in Barcelona, contains a series of sixty catenary arches which closely…

A: To find width and tallness of the arch in parabolic shape

Q: Graph the parabola and find its vertex and the axis of the parabola y =x2 - 6x + 7

A: y=x2-6x+7

Q: Which point is the vertex of the parabola y = 6(x+3)^2 - 5?

A:

Q: What is the y-intercept of the parabola whose equation is y=x^2+5x-6

A: For any equation or function substitution x = 0 to get the y-intercept.

Q: Which equation represents the axis of symmetry of the graph of the parabola below?

A: In this equation x=y2 The axis of symmetry is positive x - axis as you can see the graph is in right…

Q: Find the equation y = ax2 + bx + c of the parabola that passes through the points (-2,0), (0, –14),…

A: See attached file for a step by step explanation to find the equation of parabola.

Q: When a sprinkler is installed in the ground, the spray of water goes up and falls in the pattern of…

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Q: Which equation can represent the parabola in the diagram? A y = -x2 Oy=x- 3 B y= x² O y= -x – 3

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Q: Write an equation of the parabola in intercept form that passes through (-18, 72) with x-intercepts…

A:

Q: What is the equation of a parabola with the vertex (3, 7) and the focus (5,7)? = (y – 7)² + 3 B (y-…

A: Vertex of the parabola is 3, 7 and the focus is 5, 7. Now vertex is, h, k=3, 7⇒h=3  &  k=7 Focus…

Q: Graph the parabola and label the vertex, axis and intercepts of Y=(-1)/4 x^2+2x+4

A:

Q: Write an equation of the parabola on intercept form that passes through (-18, 72) with x-intercepts…

A:

Q: Write an equation of the parabola in intercept form that passes through (-18,72)​ with x-intercepts…

A: GIVEN PARABOLA PASSES THROUGH (-18, 72) AND X-INTERCEPTS ARE -16  &  -2 .

Q: Find the vertex of the parabola. y = x2 + 14x + 49 Please enter your answer as an ordered pair.

A:

Q: What is the turning point of the parabola whose equation is y= 2x2 + 4x - 3? A) (-1,-5) B) (-2,-3)…

A: y = 2x2+4x-3If the quadratic is written in the formy = a(x-h)2+k , then the vertexis the point…

Q: What is the equation of the parabola with horizontal axis, vertex (-2,1), and passes through the…

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Q: Write the equation of the parabola with vertex (4, -2) and focus (4,4)

A: To find the equation of the parabola

Q: What is the equation of the parabola below? y (2.4) (3,1) -5

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Q: y = 3x² + 6x – 5

A: Topic - vertex form of parabola y=3(x+1)2 -8

Q: What is the location of the vertex of a parabola given the equation y2+6y-9x-12-D0? O (3,-7/3) O…

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Q: Write the equation of the parabola in standard form. + 8y + 4x + 36 = 0.

A:

Q: The zeros of a parabola are 6 and -5. If (-1,3) is a point on the graph which equation can be solved…

A: Given that the zeroes of the parabola are 6 and -5. and parabola passage through the point -1,3 We…

Q: Write the equation of the parabola in standard form, whose vertex is vertex is (-3, -1) and the…

A: Given Write the equation of the parabola in standard form, whose vertex is vertex is (-3, -1) and…

Q: Find the equation of a parabola, in vertex form -3 -2

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Q: The equation of the parabola r = 4(y– 2)² is opening

A: Note: Equation of parabola Direction where it opens y=ax-h2+k and a>0 Upward y=ax-h2+k and…

Q: The vertex of the parabola given by the equation x2 = 20 y is (0,0) O (4,5) O (0,5) (4,0)

A: Kindly post other question as separate one.

Q: Find the equation of the axis of symmetry of the following parabola algebraically. 3x2 + 6x - 12 y =…

A: The equation of the parabola y=3x2+6x-12. We have to find the equation of the axis of symmetry for…

Q: e the vertex of the parabola whose equat

A: The given parabola is  (y-9)2=-4(x-2)

Q: What are the coordinates of the turning point of the parabola whose equation is y=x² - 2r - 4? A)…

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Q: Write the equation of a parabola whose vertex is at the origin, focus is on the y-axis, and passes…

A: To write the equation of a parabola whose vertex is at the origin, focus is on the y-axis, and…

Q: -4. -2 2. -6

A:

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.