Question

what is a quadratic function?

Answer 1

and effect of a, b, c, h, and k as applicable for the function.

Answer 2

A quadratic function is a function that has the form: \[a*x^2+b*x+c=0\]

Answer 3

A quadratic function has a parabolic graph. The constants a, b, and c change the characteristics of the parabola.

Answer 4

also what is a real-world situation that can be modeled by the function

Answer 5

Well, a parabola has sort of a U shape. There are plenty of things that can be modeled by a U shaped graph.

Answer 6

if leading coefficient is negative then its not going to be u shape then its look like thsi

Answer 7

would a real-world situation be something like a bouncy ball?

Answer 8

A real life example is baseball

Answer 9

when the batter hits the ball, the ball goes flying in a trajectory, making a parabolic arc.

Answer 10

To find the maximum distance, the velocity of the ball, etc, we can use our quadratic formula to find whatever we're asked to look for,

Answer 11

Launching a projectile is another good example of utilizing the quadratic equation because as they say "what goes up, must come down",

Answer 12

Thank you for your help i wish i could give a medal as well.