1. Copy and complete the table for each parabola. Replace the heading for the second column with the equation for the parabola. Property y = a(x – h)² + k Vertex Axis of symmetry Stretch or compression factor relative to y = x² Direction of opening Values x may take Values y may take a) y = (x – 4)² b) y = (x – 2)² – 4 c) y = (x + 3)² – 2

Q: 19. Write the equation of a parabola whose y-intercept is 4 and which contains the points (1, -4)…

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Q: Determine whether this is a parabola: y = 5a + 80x + 321 . O Parabola Not a parabola If it is a…

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Q: Find an equation of the parabola drawn below: 2 Xx Select one: O a. (x + 2)2 = 2 (y + 2) O b.…

A: We have to find the equation of parabola.

Q: Determine the focus of the parabola (x - 2)² = 4(y - 3). %3D O (-1,-3) O (2,4) O (-2,-2) O (2,3)

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Q: use linear functions. The ABC Car Rental uses the function f (x) = 100 for any daily use of a car up…

A: Driving More than 200 miles per day.   ABC uses the function g(x) =100+0.25(x-200)toTo determine the…

Q: Find the equation of the line that is tangent to the hyperbola at the given point. Write your answer…

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Q: Which equation would shift the parabola down 3 units? A y=z² B y=z² +3 C_y=(z-3)² Dy=(z+3)²³ E =…

A: which equation would shift the parabola down to 3 units.

Q: 6. Write an equation for each parabc a) (2 4) 4- 2 - |(4. 0) b) |(-3, 0) 2 0 -2 (-1, –4) 6.

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Q: PARENT FUN CTION ) (i) SHIFT 3 UNITB LEFT y= (2+3)2 lñi TAKE REFLEZTION IN ダーAXS -A Y= - (a+3)2 UER…

A: In this question , we can transformed the parabola by using given step.

Q: 3. Complete the table for each parabola Equation Y= -0.4(x-2)2 Y = 3(x + 5) 2 + 3 Direction of…

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Q: Write an equation of the parabola with its vertex at (x, y) - (3, 9) and focus at (x, y) (3,-2).

A: The parabola has vertex at (h,k)= (3, 9) and focus at (h,k+a)= (3, -2) Hence axis of symmetry is x=3…

Q: parabola passes through (15,0) (25,30) (35,80). find the equation of the parabola in the form…

A: Given: A parabola passes through (15,0) (25,30) (35,80). To find:- The equation of the parabola in…

Q: Which of the following represents a parabola with vertex at (4, -2) and focus at (4, 4)? O A. (x -…

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Q: V. Activity Directions: Identify the vertex of the following parabola. 4. y = - 1x2 +1 Vertex: 2 2…

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Q: Activity Directions: Identify the vertex of the following parabola. 1. x = (y- 4)2 - 1 Vertex: 2. x…

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Q: 3. Write the equation of the parabola that matches each description. a) The graph of y =x² is…

A: 3. According to questionGiven Curve :y = x2

Q: Write the equation of the parabola in standard form sati 1. Vertex (1, – 9); Focus (- 3, - 9)

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Q: 2. Which of the equations below also represents the parabola y=-3x² 18x + 16? Oy=3(x+3)² +65…

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Q: Graph the parabola. x=2(y-4)+3 12 10+ 10-+

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Q: For each situation, indicate whether the appropriate model would be Linear or Exponential. Be…

A: We have to find if the given situation is linear or exponential model.

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.