Homework Help: Alg 1 quadratic functions

Posted by Cole on Thursday, October 20, 2011 at 7:06pm.

A baseball player hits a baseball into the outfield. The equation h= -0.005x^2 +x+3 give the path of the ball, where (h) is the height and (x) is the horizontal distance the ball travels.

A. What is the equation of the axis of symmetry? It's -100 right?
B. What is the Mac height reached by the baseball? Idk
C. An outfielder catches the ball 3 ft above the ground. How far has the ball traveled horizontally when the outfielder catches it? Idk

Alg 1 quadratic functions - Henry, Friday, October 21, 2011 at 8:39pm
Y = -0.005x^2 + x + 3

A. h = Xv = -b / 2a = -1 / -0.01 = 100 X = 100 = Eq of axis of symmetry.

B. The max ht = Y-coordinate of vertex.
In the given Eq, substitute 100 for X
and get: Yv = K = 53 = max ht.

V(h,k) = V(100,53).

C. Y = -0.005x^2 + x + 3 = 3,
-0.005x^2 + x = 3-3 = 0,
x(-0.005x + 1) = 0,

X = 0,
-0.005x + 1 = 0,
0.005x = 1,
X = 200 = Hor. distance traveled.

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