Choose the function that correctly identifies the transformation of f(x) = x2 shifted four units right and seven units down.
2 answers:
Answer:
The correct option is A.
Step-by-step explanation:
The parent quadratic function is,
The transformation is defined as
....(1)
Where, a is horizontal shift and b is vertical shift.
If a>0, then the graph shifts a units left and if a<0,then the graph shifts a units right.
If b>0, then the graph shifts b units up and if b<0,then the graph shifts b units down.
It is given that f(x) shifted four units right and seven units down. It means a=-4 and b=-7.
Substitute a=-4 and b=-7 in equation (1).
The required function is .
Therefore the correct option is A.
You might be interested in
Equation of a line with an slope of 1/2 that contains (-4, 7) is
<em><u>Solution:</u></em>
We have been given a point and slope of an equation and have been asked to write it in an equation. The two forms of writing a point and slope in equation are point slope form and standard form.
The standard form of a line is in the form Ax + By = C where A is a positive integer, and B, and C are integers. The standard form of a line is just another way of writing the equation of a line.
To write in standard form we will first write it in point slope form and then rearrange it into a standard from.
<em><u>The formula for point slope form:</u></em>
where "m" is the slope of line
Given that "m" = and
Now, let us convert this equation to standard form
0.5x + 9 = y
0.5x - y = -9
Thus we have found out equation of line in point slope and standard form