Answer:
vertex = (- 1, 3 )
Step-by-step explanation:
Given a parabola in standard form
y = ax² + bx + c ( a ≠ 0 )
Then the x- coordinate of the vertex is
= -
y = 2x² + 4x + 5 ← is in standard form
with a = 2, b = 4, then
= -
= - 1
Substitute x = - 1 into the equation for corresponding value of y, that is
y = 2(- 1)² + 4(- 1) + 5 = 2 - 4 + 5 = 3
vertex = (- 1, 3 )
Answer:
a)
b)
Step-by-step explanation:
a)
1. Distribute the second power (2) outside the first pair of parenthesis:
=
2. Distribute the third power (3) outside the second pair of parenthesis:
=
3. Combine like terms:
--------------------------------------------
b)
1. Factor the number 6 (= 2 · 3):
2. Cancel the common factor (2):
3. Cancel out in the numerator an denominator:
hope this helps!
