Which model is most appropriate for the data shown in the graph below?
2 answers:
Answer : Exponential
The graph is attached below with dots
When we connect all the dots then we will get a curve shaped graph.
a). quadratic - A U shaped figure is quadratic. It is in the form of parabola.
b). linear - Line graph is linear. It is a straight line.
c). exponential - A curve shaped graph is exponential. Like half of a parabola.
d). line - Straight line graph.
By connecting all the dots we got a curve shaped graph. so its exponential.
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Answer:
h = -
Step-by-step explanation:
The equation of a parabola in vertex form is
y = a(x - h)² + k
where (h, k) are the coordinates of the vertex and a is a multiplier
Given
y = 2x² + 6x + 11 ( factor out 2 from the first 2 terms )
= 2(x² + 3x) + 11
Using the method of completing the square
add/subtract ( half the coefficient of the x- term )² to x² + 3x
y = 2(x² + 2( )x +
-
) + 11
= 2(x + )² -
+ 11
= 2(x + )² +
← in vertex form
with h = -