Question

y = x² +4x-1
find the values of x and y​

Answer 1

Answer:

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.

Answer 2

Step-by-step explanation:

Solution :

a=−1,b=4,c=−1. As a is negative, the parabola should open down.

Vertex: x=−b/2a=2. Putting this value of x, we get y=3. Hence, the vertex of the parabola is (2,3).

Assume two values of x as follows and find the corresponding values of y.

∣∣∣xy12−1−6∣∣∣

Points obtained are (1,2) and (−1,−6).

Points obtained are (2,3)(vertex),[1,2], and [−1,−6].

Symmetry of parabola: Mirror image points of (1,2) and

Now, sketch the parabola as shown in figure.