The graph of the function f(x)= x2 − 4x + 6 is shown here. What is its axis of symmetry?
1 answer:
First, simplify the expression of the function highlighting the perfect square:
Then find the vertwx of parabola. When x=2, f(2)=2 and the coordinates of the vertex are (2,2). The axis of symmetry passes through the vertex and is parallel to the y-axis. Therefore, its equation is x=2 (see attached graph for details).
Answer: x=2.
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Answer:
Height of an oak tree= 9 meters
Height of a pine tree = 12 meters
Step-by-step explanation:
Given:
The combined height of 1 oak tree and 1 pine tree = 21 meters
Height of 4 oak trees = 24 meters more than 1 pine tree
To find the height of 1 pine tree and height of one oak tree.
Solution:
Let the height of one oak tree be = meters.
Let height of one pine tree = meters.
Combined height can be given as :
-------------[1]
Height of 4 oak trees = 24 meters more than 1 pine tree
The above statement can be given as :
------------[2]
Rearranging equation [2] by subtracting both sides by .
-------------[2]
Adding rearranged equation [2] to [1].
+--------------------
Dividing both sides by 5.
∴
Plugging in in equation [1]
Subtracting both sides by 9.
Height of an oak tree= 9 meters
Height of a pine tree = 12 meters