Find the Vertex x^2-2x-3

Problem

x2−2*x−3

Solution

1. Identify the coefficients of the quadratic function in the form a*x2+b*x+c Here, a=1 b=−2 and c=−3

2. Apply the formula for the x-coordinate of the vertex, which is given by x=(−b)/(2*a)

3. Substitute the values of a and b into the formula.

x=(−(−2))/(2*(1))

4. Simplify the expression to find the x-coordinate.

x=2/2

x=1

5. Find the y-coordinate by substituting x=1 back into the original quadratic expression.

y=(1)2−2*(1)−3

6. Calculate the value of y

y=1−2−3

y=−4

Final Answer

Vertex=(1,−4)

Want more problems? Check here!