Transcript Advanced Algebra II Notes 7.4 The Quadratic Formula

Advanced Algebra II Notes 7.4 The
Quadratic Formula
Nora hits a softball straight up at a speed of 120 ft/s. Her
bat contacts the ball at a height of 3 feet above the
ground.
a) Write the equation relating height in meters, y, and
time in seconds, x.
b) How high will the ball go?
c) When will the ball hit the ground?
Graph
Quadratic Formula
The Quadratic Formula: given
ax  bx  c  0
2
 b  b 2  4ac
x
2a
Write the original equation in factored form using the roots.
Solve:
3x  5 x  8
2
Write a quadratic equation with these x-intercepts:
a) -2 and
3
7
Sketch graphs of equations with 2 roots, 1 root and
no roots.
Assignment:
page 388:
1, 2, 3c, 4 – 8, 13