when graphing a system of equations with "the same"or "different" in order to make the sentence a true statement ______________.
1 answer:
You might be interested in
Answer:
Given:
f(x) = 2x² + 3
g(x) = x² - 7
To Find:
(f - g)(x)
Step-by-step explanation:
(f -g)(x) = f(x) - g(x)
= (2x² + 3) - (x² - 7)
= 2x² + 3 - x² + 7
= 2x² - x² + 3 + 7
= x² + 3 + 7
= x² + 10
The function in vertex form is ⇒ 3rd answer
Step-by-step explanation:
The vertex form of the quadratic function f(x) = ax² + bx + c is
f(x) = a(x - h)² + k, where
- a is the coefficient of x²
- (h , k) are the coordinates of the vertex point
, wher b is the coefficient of x
- k = f(h), that means value f(x) when x = h
∵ f(x) = x² + x + 1
∴ a = 1 , b = 1
∵
- Substitute the values of a and b to find h
∴
∴
Substitute the value of x in f(x) by the value of h to find k
∵ f( ) =
∴ f( ) =
∴ f( ) =
- k is the value of f(x) when x = h
∵ h =
∴ k = f( )
∴ k =
Substitute the values of a, h and k in the vertex form
∵ f(x) = a(x - h)² + k
∵ a = 1 , ,
∴
∴
The function in vertex form is
Learn more:
You can learn more about the quadratic functions in brainly.com/question/9390381
#LearnwithBrainly