Three functions are given below: f(x), g(x), and h(x).
1 answer:
Answer: The axis of symmetry is x=1.
Explanation:
The given function is,
The degree of the equation is 2. SInce it is a quadratic function therefore the graph of the function is a parabola.
The axis of symmetry of a parabolic function is a vertical line,
Since the value of a is 5m b is -10 and c is 7, So the axis of symmetry is,
Therefore, the axis of symmetry is x=1.
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Synthetic division yields
-3 | 1 5 4 -6
. | -3 -6 6
- - - - - - - - - - - - -
. | 1 2 -2 0
which translates to
with remainder 0. Now by the quadratic formula,
and so
Answer:
C
Step-by-step explanation:
Firstly, we know that the function must be negative due to its shape. This means that the answer cannot be B
Next we can use the equation that is used in order to find the vertex of the parabola.
A)
As the vertex is at x=3 on the graph, this one could be a contender.
C)
This also could be the equation
D)
This rules option D out.
For this last step, we can look at where the zeroes would be for each equation. (These values are irrational, so we cannot look at specific number)
A)
As this equation has a negative value for c, this means that one zero must be positive and the other must be negative.
This means that option A can be ruled out
C)
As this equation has a positive value for c, this means that both of the zeroes must be positive. This means that it is the only one that fits all of the criteria.