Question

Use a graphing calculator to sketch the graph of the quadratic equation, and then state the domain and range.

y = x² + 2x+2
a. D: all real numbers
R: (≤2)
b. D: all real numbers
R: (≤1)
C. D: (x21)
R: (≥2)
d. D: all real numbers
R: (21)

Answer 1

Answer: d. D: all real numbers R: y≥1

Explanation:

y=x²+2x+2

y=x²+2x+1+1

y=(x²+2x+1)+1

y=(x+1)²+1

D:

all real numbers

x∈(-∞,∞)

R:

(x+1)²≥0

(x+1)²+1≥0+1

(x+1)²+1≥1

y≥1

y∈[1,∞)

Answer 2

The answer is A because all quadratics have a domain of all real numbers and the the minimum aka vertex is 2