Create an application question that is modeled by a quadratic function. You can look in your textbook, other textbooks, or the internet to give you ideas. Include a full solution(show all steps). Your questions should require you to determine the vertex and determine the zeros. You should include a graph of your model. Presentation of information is important.An angel attack has hit Tokyo-31 NERV HQ plans to to eject EVA Unit-01 into the oir using the model h(x) = -0.5x3 + 5x + 12, where h(x) is height and x is length (both in hundreds of meters) Shinji's EVA will pass the start of the city, located (0, 12). a) What will be the EVA's max height? Height in hundreds (meters What will the length be when he reaches this height? 20 How for is NERV HQ from the start of the city? How is for is the angel from the city and NERV HQ? Length in hundreds (meters) Solutions Finding the Vertex Finding the Zeros h(x) = ox'+bx+c h(x) = -0.5x#+5x+12 = -0.5x1+5x+12 = -0.5(x'-10x+24) = -0.5(x'-10x)+12 = -0.5(x]-10*+24) = -0.5(x*-10x+25)+12.5+12 = -0.5(x+2)(x-12) = -0.5[x-5)*+24.5 NERV HQ distance: r = -2 Length: x = 5 Angel's distance: s = 12 Height y = 24.5 -2 x 100 = -200 5 X 100 = 500 12 x 100 = 1200 24.5 x 100 = 2450 NERV HQ is 200 meters away from the start of the The EVA's mox height would city. The angel's distance is 1200 meters away from be 2450 meters. The length the start of the city and 1400 meters away from he'd reach would be 500 NERV HQ. meters