intercepts of f(x)=x^2+4x+4 — step-by-step solution

On the horizontal axis, y = 0: solve

x^{2} + 4 x + 4 = 0

⇥Let's solve in

ℝ

x^{2} + 4 x + 4 = 0

⇥You can rephrase the expression into:

{(x + 2)}^{2}

⇥

{(x + 2)}^{2} = 0

means that:

x + 2 = 0

⇥ⓘ We subtract

2

from both sides

⇥Solution obtained:

x = -2

On the vertical axis, x = 0: calculate f(0)

⇥

0^{2} + 4 \cdot 0 + 4

⇥ⓘ A product with a zero factor is zero:

4 \cdot 0

0

■Adding 0 changes nothing:

0 + 4

4

⇥

0 + 4

⇥ⓘ Adding 0 changes nothing:

0 + 4

4

⇥

4

▶Axis intercepts:

{(-2, 0), (0, 4)}