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

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)

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

the answer is 40.

proof: