Answer:
x² - 4
Step-by-step explanation:
Step 1: Write expression
(x + 2)(x - 2)
Step 2: FOIL
x² + 2x - 2x - 4
Step 3: Combine like terms
x² - 4
To put a fraction into simplest form, you need to divide both the numerator and the denominator by the GCF of both of these numbers.
35 and 42 have a GCF of 7.
So, if we divide
35/7=5
42/7=6
Therefore, 35/42 in simplest form is 5/6
Answer:
The equation of the axis of symmetry is x = 
The coordinates of the vertex are (
,
) ⇒ 2nd answer
Step-by-step explanation:
The quadratic function y = ax² + bx + c is represented graphically by a parabola which has a minimum/maximum vertex (h , k), where
- h =
and k is value y at x = h - The axis of symmetry of the parabola is a vertical line passes through the vertex point and its equation is x = h
- The minimum/maximum value of the function is (h , k)
∵ y = 4x² + 5x - 1
∵ The form of the quadratic function is y = ax² + bx + c
∴ a = 4 , b = 5 , c = -1
∵ The coordinates of the vertex points are (h , k)
∵ h = 
∴ h = 
- To find k substitute x in the function by 
∵ k = 4 (
)² + 5(
) - 1
∴ k = 4 (
) + (
) - 1
∴ k =
-
- 1
∴ k = 
∴ The coordinates of the vertex are (
,
)
∵ The equation of the axis of symmetry is x = h
∵ h = 
∴ The equation of the axis of symmetry is x = 