How to solve 2.5h - 15 = 4h
1 answer:
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Given:
The function is:
To find:
Express the quadratic equation in the form of , then state the minimum or maximum value,axis of symmetry and minimum or maximum point.
Solution:
The vertex form of a quadratic function is:
...(i)
Where, a is a constant, (h,k) is the vertex and x=h is the axis of symmetry.
We have,
It can be written as:
Adding and subtracting square of half of coefficient of x inside the parenthesis, we get
...(ii)
On comparing (i) and (ii), we get
Here, a is negative, the given function represents a downward parabola and its vertex is the point of maxima.
Maximum value = 10.125
Axis of symmetry :
Maximum point = (1.75,10.125)
Therefore, the vertex form of the given function is , the maximum value is 10.125, the axis of symmetry is
and the maximum point is (1.75,10.125).
Answer:
We just need to evaluate and get f(2i)=0, f(-2i)=0.
Step-by-step explanation:
Since , then
, and we can apply this when we evaluate
for 2i and -2i.
First we have:
Which shows that 2i is a zero of f(x).
Then we have:
Which shows that -2i is a zero of f(x).