21 inches Write an equation in standard form that defines th

2.1 inches Write an equation in standard form that defines the parabola as shown on the graph to the right that uses the vertex as the origin (0, 0), where x and y are in inches. Round off all numbers in your equation to five decimal places. 1. 7.0 inches Write or type \"The equation for the parabola that models the reflector of the headlamp is your answer)\", where (your answer) completes the sentence (2 points) Find the distance to the right of the vertex on the axis of symmetry (the r-axis) of the parabola at which the center of the bulb should be placed, so that the light from the bulb is projected directly forward; in other words, find the distance from the vertex to the focus of the parabola. Round off your answer to five decimal places. 2. dista nce vertex to focus Write or type \"The center of the bulb should be (your answer) inches from the vertex\" where you replace (your answer) by the distance in inches. (3 points)

Solution

1) width of reflector = 7 inches

height = 2.1 inches

vertex = ( 0,0 )

this is a sideways parabola

y^2 = 4ax

4a = 2.1

a = 0.525

the equation of parabolic reflector is

y^2 = 5.8 x