Question:
A parabola can be drawn given a focus of (1, 2) and a
Last updated: 7/20/2022

A parabola can be drawn given a focus of (1, 2) and a directrix of x = -11. What can be said about the parabola? The parabola has a vertex at
New Questions on Parabola
View all
Math
ParabolaUse the method of completing the square to find the standard form of the quadratic function f x x 6x 1 y State the vertex and axis of symmetry of the graph of the function axis of symmetry X vertex Sketch the graph O x y 10 9 8 Graph Layers After you add an object can use Graph Layers to properties

Math
ParabolaTodd hit a golf ball 250 yards The maximum height the golf ball reached was 35 yards Assume the path of the ball is parabolic Write an equation for the path of the ball OA B C D y y y y 5 49 x 125 35 7 3125 x 125 35 5 301 x 35 125 5 1849 x 35 125

Math
ParabolaConsider the parabola given by the equation: f(x) = 4x² – 10x-4
Find the following for this parabola:
A) The vertex:
B) The vertical intercept is the point
C) Find the coordinates of the two x intercepts of the parabola and write them as a list, separated by commas:

Math
ParabolaThe height y (in feet) of a ball thrown by a child is
y=-1/14 x² + 2x + 3
where is the horizontal distance in feet from the point at which the ball is thrown.
(a) How high is the ball when it leaves the child's hand? feet
(b) What is the maximum height of the ball? feet
(c) How far from the child does the ball strike the ground? feet

Math
ParabolaFind the reflection of the function y = x² over y-axis.
The reflection along the y-axis is (-x)².
The reflection along the y-axis is x³.
The reflection along the y-axis is -x².

Math
ParabolaDescribe the transformations to the parent function. Check all boxes
that apply.
f(x)=1/3(x - 2)²
Reflects across the x-axis (open down)
Stretched by a factor of 3 (Narrower)
Compressed by a factor of 3 (Wider)
shifts right 2
shifts left 2
shifts up 2
shifts down 2

Math
ParabolaFind the x-intercept(s) and the coordinates of the vertex for the parabola y=x²-4x-5. If there is more than one x-intercept, separate them with commas.

Math
ParabolaUse the information provided to write the vertex form equation of each parabola.
Vertex: (-7,-5), Focus: (-7,-41/8)
y = (x +9) ² - 7
y = 2(x - 5)² +7
y- 1/2(x-5)²-7
y = -2(x+7)² - 5
y = 1/2( x − 4 )² + 6

Math
ParabolaFarmer Jones, and his wife, Dr. Jones, decide to build a fence in their field, to keep the sheep safe. Since Dr. Jones is a mathematician, she suggests building fences described by y = 112² and y = x² + 4. Farmer Jones thinks this would be much harder than just building an enclosure with straight sides, but he wants to please his wife. What is the area of the enclosed region?

Math
ParabolaIdentify the surface defined by the following equation.
16z² + y² = 9
The surface defined by the equation is _____