Write the quadratic function in the form y ax h2 k and sk

Write the quadratic function in the form y = a(x - h)^2 + k and sketch its graph. y = x^2 + 2x + 3/2 y = (Simplify your answer. Use integers or fractions for any numbers in the expression.) Use the graphing tool to graph the equation.

Solution

Solution:

y = x^2 + 2x + 3/2

y = x^2 + 2x + 1 - 1 + 3/2

y = (x + 1)^2 + 1/2

y = 1 (x - (-1))^2 + 1/2

Vertex = (h, k) = (-1, 1/2)