Current location - Training Enrollment Network - Mathematics courses - Mathematical quadratic function and practical problems in grade three. Ask for an answer!
Mathematical quadratic function and practical problems in grade three. Ask for an answer!
(1) proves that when x=0,

Y=ax(0 square) -4x0 +3

=3

The intersection of this function and the Y axis is (0,3), and its coordinates have nothing to do with A.

No matter what the value of a is, this function passes through a fixed point (0,3) on the Y axis.

(2) There are two situations:

First, when a=0, the function is a linear function y=-4x+3, which is like a straight line with only one intersection with the X axis:

When y=0, -4x+3=0.

x=3/4

At this time, the intersection with the X axis is (3/4,0).

Second, when a≠0, the function is quadratic, and the discriminant △=0:

∴△=(b squared) -4ac=(-4) squared-12a =0.

16- 12a=0

∴a=4/3

Composition: a=0 or 4/3.

I am glad to solve the above problems for you, and I hope it will help your study! ≤、≥ ∠