What is the vertex of the function f(x) = x2 + 12x?
2 answers:
Answer:
6, - 36 )
Step-by-step explanation:
Given a parabola in standard form
y = ax² + bx + c ( a ≠ 0 )
Then the x- coordinate of the vertex is
x = -
f(x) = x² + 12x ← is in standard form
with a = 1, b = 12, c = 0 , then
x = - = - 6
Substitute x = 6 into f(x) for corresponding value of y
f(6) = 6² + 12(- 6) = 36 - 72 = - 36
vertex = (6, - 36 )
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Answer:
The coordinate of the points on the graph as shown , where ( x ,y ) = ( 3 , 2 )
Step-by-step explanation:
Given as :
The two algebraic equation is
y = 2 x - 4 .......A and y = - x + 5 ........B
The given two algebraic equation can be solved by putting the one variable to the other equation
Now , put the value of y from Eq A into the Eq B
I.e 2 x - 4 = - x + 5
or, 2 x + x = 5 + 4
or, 3 x = 9
∴ x =
I.e x = 3
So The value of x = 3
Again, put the value of x in the equation A
I.e y = 2 x - 4
or, y = 2 × 3 - 4
∴ y = 6 - 4
I.e y = 2
So The value of y = 2
So , The coordinate of points on the graph as ( x , y ) = ( 3 , 2 )
Hence The coordinate of the points on the graph as shown , where ( x ,y ) = ( 3 , 2 ) Answer
