Which of the graphs shown below represents a sketch of y=x^2 + 6x + 5

Answer:
C
Step-by-step explanation:
the equation given is a quadratic (formula that has a squared number in it)
It has a positive gradient (rise over run)
It passes through 5 (which is the y-intercept)
Answer:
C
Step-by-step explanation:
y = x² + 6x + 5
Find the x- intercepts by letting y = 0 , that is
x² + 6x + 5 = 0 ← in standard form
(x + 5)(x + 1) = 0 ← in factored form
Equate each factor to zero and solve for x
x + 5 = 0 ⇒ x = - 5
x + 1 = 0 ⇒ x = - 1
The x- intercepts are x = - 5 , x = -1
These are indicated in graph C