Parabola Questions

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An arch is in the shape of a parabola. It has a span of 800 feet and a maximum height of 40 feet. Find the equation of the parabola (assuming the origin is halfway between the arch's feet).Determine the height of the arch 143 feet from the center.

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The mirror in an automobile headlight has a parabolic cross-section with the light bulb at the focus. On a schematic, the equation of the parabola is given as x^2= 4y. if we want to construct the mirror so that the focus is located at (0,1.25), what is the equation of the parabola?

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Sketch the graph of the quadratic function and the axis of symmetry. State the vertex, and give the equation for the axis of symmetry. h(x) = (x + 3)^2 Use the graphing tool to graph the function as a solid curve and the axis of symmetry as a dashed line. Click to enlarge graph. The vertex is ____. (Type an ordered pair.) The axis of symmetry is _______. (Type an equation.)

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Find the y-intercept of the parabola. f(x) = -2x^2-12x-10

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E Homework: 26 Practice Final Exam (Weeks 6 - 16, Chapters 7 - < Question 44, 8.1.87 > Write an equation for the parabola with a vertex (-3,3) and directrix x= - 14. An equation for this parabola is (Simplify your answer. Use integers or fractions for any numbers in the expression.) Uoln moobrobi

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TUI. UIT e Find the equation of the quadratic function y = ax' + bx+c whose graph is shown on the right. Select three ? points whose coordinates appear to be integers. N y=0 = (Simplify your answer. Type an expression using x as the variable.) Help me solve this View an example Get more help - Clear all Check answe ENG 1: 4/2

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Plot the vertex, the y-intercept, and the reflection of the y-intercept in the axis of symmetry of the graph of f(x) = -3x² + 12x - 4. Then describe the range of the function. Point Undo Redo x Reset 104 9 8 7 6 5 4 3 2 1 2 3 4 5 6 7 8 9 10 12 -10 -9 -8 -7 -6 -5 -4 -3 -2 -19 -2 -3 -4 -5 -6 -7 -9 10 The range of the function is

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Identify the graph of y=(x-2)(x + 2) with its vertex, axis of symmetry and z-intercepts labeled. 2x ( 201 O (-20) 2 4 O 2,0) 22 4 -21 2 X-2 10,-2) 21 x 0 (-2,0) (2.0) O -2 O 8 2.0) -2 2 [x = 2 -4 70-4 Describe the domain and range of the function. Domain: Range: :: all real numbers !! 3-2 :: 3 > 0 :: I> 2 :: 3 < 0 :: 3 < -2 !! <2 y> -2 y > 2 Ayo Iy24 y-4

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y 4. The parabola f (x) ----16 is shown graphed on the grid below with certain points highlighted. The function g(x) is given by s(r) - | (2x) (a) What is the range of the function f(x)? IN x (b) State the zeroes of f(x). eroes of () (©) The function g(x) will have the equation 8(x) = (2x) –16. Using your calculator, create a graph of g(x) on the grid given. (d) State the zeroes of g(x). Why does this answer make sense in light of (b)?

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Chrome-05 Chapter 8 Quiz Amylab.pearson.com/Student/Player Test.aspx?testId=238286902&centerwin=yes 202220 Precalculus Algebra MAC-1140 - 21537 - Online - Spring 22 = Quiz: 05 Chapter 8 Quiz Question 15 of 25 > Write the equation for the parabola Vertex: (2. - 4). Focus: (2.-6) An equation for this parabola is (Simplify your answer. Use integers or fractions for any numbers in the equation.)

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= Quiz: 05 Chapter 8 Quiz Question 14 of 25 Next question Write an equation for the parabola with vertex at the origin and focus The equation is I (Simplify your answer. Use integers or fractions for any numbers in the equation.)

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Use the information provided to write the vertex form equation of each parabola. 13 Vertex: (-7,-6), Focus: (-7, - 2 O y=-(42 + 7)2 – 6 1 4x Oy=+*( – 6)2 +7 +(x 2 1 Ov=-(+7)2 - 6 x ? – 2 1 Oy==(x + 7) +6 O y==(x + 9)2 - 4 1 = 2 – .