Answer:
f(x) = 2(x + 4)² - 2
Step-by-step explanation:
Equation of quadratic function whose vertex is (h, k),
f(x) = a(x - h)² + k
Equation of the function with vertex (-4, -2) shown in the graph will be,
f(x) = a(x + 4)² - 2
This graph is passing through a point (-6, 6) also,
6 = a(-6 + 4)² - 2
6 + 2 = a(-2)²
a = = 2
Therefore, quadratic function is f(x) = 2(x + 4)² - 2
Answer:
is equidistant from and .
Step-by-step explanation:
Given that the point which is on the perpendicular bisector of the line segment having endpoints at and .
The given situation can be represented as the diagram as attached in the answer area.
Referring to the :
(As it is the perpendicular bisector)
(As it is the perpendicular bisector)
Also, the side is the common side.
Therefore by congruence,
As per the properties of congruent triangles:
Side = Side
and are nothing but the distance of the point from the end points and which are proved to be equal to each other.
Therefore, we can conclude that:
is equidistant from and .
C because it would be -x so x would be on the other side of 0 on the number line. Then you would add 3 so you would go 3 spaces to the right giving you point C
Answer:
Step-by-step explanation:
- 4x² - 36x + 81 = 0
- (2x)² - 2*2x*9 + 9² = 0 Identity a² - 2ab + b² = (a - b)²
- (2x - 9)² = 0
- 2x - 9 = 0
- 2x = 9
- x = 4.5