Question

23. Draw the graph of y=x2 - X - 12​

Answer 1

EXPLANATION.

Graph of the equation,

⇒ p(x) = y = x² - x - 12.

As we know that,

First we can find the zeroes of the equation, we get.

⇒ y = x² - x - 12.

⇒ y = x² - 4x + 3x - 12.

⇒ y = x(x - 4) + 3(x - 4).

⇒ y = (x + 3)(x - 4).

⇒ (x + 3)(x - 4) = 0.

⇒ x = -3  and  x = 4.

Put the value of x in equation, we get.

⇒ y = x² - x - 12.

Put x = -3 in equation, we get.

⇒ y = (-3)² - (-3) - 12.

⇒ y = 9 + 3 - 12.

⇒ y = 12 - 12.

⇒ y = 0.

Their Co-ordinates = (-3,0).

⇒ y = x² - x - 12.

Put x = 4 in equation, we get.

⇒ y = (4)² - (4) - 12.

⇒ y = 16 - 4 - 12.

⇒ y = 16 - 16.

⇒ y = 0.

Their Co-ordinates = (4,0).

⇒ y = x² - x - 12.

Put x = 0 in equation, we get.

⇒ y = (0)² - (0) - 12.

⇒ y = -12.

Their Co-ordinates = (0,-12).

y = x² - x - 12. makes the curve upward parabola.