If y= -4 when x=2, find y when x=-6.
2 answers:
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Answer:
(-5,-28)
Step-by-step explanation:
Given
Required
Find the coordinates of the vertex
Given that the function is a quadratic function;
The general form of a quadratic function is
By comparison;
To calculate the coordinates of the vertex;
we start by calculating the x-coordinate;
Substitute 10 for b and 1 for a
Substitute in the given function;
<em>Hence, the coordinates of the vertex is (-5,-28)</em>
To transform the function 
to have the amplitude of 3, we need to multiply the constant 3 to the function f(x), so we have 
To transform the function
to have the midline 
we need to subtract 
by 4, so we have 
,
To transform the function to have period of 
, we need to divide the original period 
by 4, so we have 
. Note that it is the 
gives the effect of dividing the points on x-axes by 4 and the period is read on x-axes
Hence, the full transformation is given
which is the last option
To transform the function
To transform the function
Hence, the full transformation is given