Solving Quadratics Roots and Vertices Forms Quadratic Formula Hodge- Podge Q $100 Q $200 Q $300 Q $400 Q $500 Q $100 Q $200 Q $300 Q $400 Q $500 Final Jeopardy

Solve the quadratic: Jeopardy

Solve: Jeopardy

A baseball is thrown from the top of a very tall building at an initial velocity of 32 ft/sed. The ball’s height, in meters, t seconds after it has been released is. When does the ball return to the ground? When does the ball reach its maximum height ? Jeopardy

H(t)=-16(t-3)(t+1) H(t)=0 when t = 3 sec. T=-b/2a=32/32 = 1sec highest height Jeopardy

Solve the Quadratic Equation: Jeopardy

solve the quadratic equation Jeopardy

Let u=x u 2 -3u+1+0 (2u-1)(u-1)=0 2(x 2 -3)-1=0 or x =0 2x 2 =7 or x 2 =4

How many real root does the following equation have? Jeopardy

B 2 -4ac=25-4(2)(-8)=25+64=89 2 real irrational roots Jeopardy

find the roots of the quadratic equation: Jeopardy

X=-3, -6 Jeopardy

The height of a golf ball is given by Jeopardy At what time does the ball reach its highest height? Use your graphing calculator

T=-b/2a=-48/-32=3/2 Jeopardy

Find the roots of the quadratic equation: Jeopardy

Find the vertex and x intercepts and y intercept of y=x 2 -2x-3 Jeopardy

(3,0) (-1,0) (0,-3) Vertex (1,-4) Jeopardy

Find the vertex y-3=2(x+1) 2 : Jeopardy

(-1,3)

Find the vertex and x and y intercepts: Jeopardy

Vertex (-5,4) No x intercepts (0,29)

Write the equation the parabola at the right with a vertex at (2,3) in vertex form. Jeopardy

Find the vertex and x intercepts and graph. Jeopardy

Y=(x-3)(x-1) (3,0) (1,0) Vertex (2,-1) Jeopardy

Find the maximum area of a rectangle if the perimeter is 40 feet. Jeopardy

A=lw=l(20-l) P=2l+2w=40. A=l(20-l) Max occurs when l=10 and w =10 Area =100 Jeopardy

Describe the roots of 2x 2 +x+8=0 Jeopardy

If D=B 2 -4ac = 1-4(2)(8)= 1-64=-63 2 imaginary conjugate roots

Find k so that the equation has 1 solution. Jeopardy

B 2 -4ac=(-5) 2 -4(2k)(-3)=0 24k=-25 k=-25/24

Use the quadratic formula to find the roots for Jeopardy

(x-3)*(x-2)=0 X=3,2

The sum of 2 numbers is 5 and their product is 3. Find the numbers Jeopardy

Solve 2ix 2 -ix +3i=0

Jeopardy

Solve this quadratic equation: Jeopardy

The roots of an equation are 2+i and 2 – i. Find the equations Jeopardy

Sum = 4 Product=4-i 2 =5 Equation x 2 -4x+5=0

Write a quadratic function that has x- intercepts of x = 4 and x = -2. max value of 3 Jeopardy

Y=a(x-4)(x+2) Vertex will occur halfway between intercepts at x=1 y max value is 3 3=a(1-4)(1+2) 3=-9a A =-1/3

Simplify Jeopardy

Find the coordinates for the vertex for the parabola that has the equation Jeopardy

The roots are at x = 4 and x = -4, therefore the vertex is at x = 0. At x = 0, y=-16. Jeopardy

Solve: Jeopardy