Graph the quadratic function f(x)= -2x^2 + 6x - 2
2 answers:
Answer:
see below for a graph
Step-by-step explanation:
The function can be rewritten to vertex form to aid in graphing.
f(x) = -2(x^2 -3x) -2
f(x) = -2(x^2 -3x + 2.25) -2 +4.50 . . . . . . add (3/2)^2 inside parentheses and subtract an equivalent amount outside parentheses
f(x) = -2(x -1.5)^2 +2.5
The vertex is located at (1.5, 2.5), and the vertical scale factor is -2. The point (3, -2) will be another point on the graph, along with the y-intercept (0, -2) and the vertex (1.5, 2.5).
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Answer:
Step-by-step explanation:
Answer:
2 solutions
Step-by-step explanation:
We are given the equations of f(x) and g(x).
To find f(x) = g(x), we just let those two equations equal each other
Group all like terms,
Factorise,
Therefore, there are two solutions
Hope this helped!!
Answer:
The 8th term of the sequence is 896/2187.
Step-by-step explanation:
We want to find the 8th term of a geometric sequence whose common ratio is 2/3 and whose first term is 7.
We can write a direct formula. Recall that the direct formula of a geometric sequence is given by:
Where <em>a</em> is the initial term and <em>r</em> is the common ratio.
Substitute:
To find the 8th term, let <em>n</em> = 8. Substitute and evaluate:
In conclusion, the 8th term of the sequence is 896/2187.
