Math, asked by meghanamaggie08184, 2 months ago

Draw the graph of y=x2- 2x - 3 and find zeroes. What do
you notice with graph and verification and observations​

Answers

Answered by amansharma264
33

EXPLANATION.

Graph of the quadratic equation.

⇒ y = x² - 2x - 3.

As we know that,

Factorizes the equation into middle term splits, we get.

⇒ y = x² - 3x + x - 3.

⇒ y = x(x - 3) + 1(x - 3).

⇒ y = (x + 1)(x - 3).

Zeroes of the equation,

⇒ (x + 1)(x - 3) = 0.

⇒ x = -1 and x = 3.

⇒ y = x² - 2x - 3.

Put the value of x = -1 in equation, we get.

⇒ y = (-1)² - 2(-1) - 3.

⇒ y = 1 + 2 - 3.

⇒ y = 3 - 3.

y = 0.

Their Co-ordinates = (-1,0).

Put the value of x =- 3 in equation, we get.

⇒ y = (3)² - 2(3) - 3.

⇒ y = 9 - 6 - 3.

⇒ y = 9 - 9.

⇒ y = 0.

Their Co-ordinates = (3,0).

Put the value of x = 0 in equation, we get.

⇒ y = (0)² - 2(0) - 3.

⇒ y = - 3.

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

Attachments:
Answered by menkaedu
0

Answer:

Step-by-step explanation:

the guy up there is right mmmmmhhhh

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