Question

The graph of the curve y=x squared-4x+3 passing through the points a,b,c. Find the minimum value of y

Answer 1

Answer:

Step-by-step explanation:

a=1,b=−4. As a is positive, the parabola should open up.

As c=0, the parabola passes through the origin.

Vertex: x=−b/2a=2, so y=−4

⇒Vertex=(2,−4). Assuming two values of x,

x 1 0

y −3 0

Points obtained: (2,−4),(1,−3),(0,0).

Symmetry of parabola: Mirror image.

Points of (1,−3) and (0,0) are (3,−3) and (4,0), respectively.

Now, sketch the parabola as shown in the figure.