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Answer:
The answer is below
Step-by-step explanation:
From the image attached, the coordinates of triangle ABC are at A(-5, 4), B(-5,7) and C(-2, 7)
a) If a point O(x,y) is rotated 90° clockwise, the new coordinate is O'(y, -x)
If triangle ABC is rotated 90° clockwise, its new coordinate is at:
A'(4, 5), B'(7, 5) and C'(7, 2)
The coordinate of A"B"C" is A"(2,5), B"(5,5), C(5,2)
Hence the transformation used to map A'(4, 5), B'(7, 5) and C'(7, 2) to A"(2,5), B"(5,5), C(5,2) is (x - 2, y + 0). Hence comparing with (x + h, y + k) gives:
h = -2, k = 0
b) If a point O(x,y) is reflected across the y = -x line, the new coordinate is O'(-y, -x)
If triangle ABC is reflected across y = -x, its new coordinate is at:
A'(-4, 5), B'(-7, 5) and C'(-7, 2)
The coordinate of A"B"C" is A"(2,5), B"(5,5), C(5,2)
Option a: Quadratic expression
Explanation:
The expression is
Option a: Quadratic expression
The quadratic expression is an expression in which the highest power or degree of a variable is 2.
Thus, from the expression the highest power of the variable is 2.
Hence, the expression is quadratic
Option a is the correct answer.
Option b: Linear expression
The linear expression is of the form
Since, the expression is not of the form
, it is not a linear expression.
Hence, Option b is not the correct answer.
Option c: Cubic expression
The cubic expression is an expression in which the highest power or degree of a variable is 3.
Since, the expression does not have the highest power 3, it is not a cubic expression.
Hence, Option c is not the correct answer.
Option d: Exponential expression
The exponential expression indicates the number of times the base is used as a factor.
Since, the expression does not indicates the number of times the base is used as a factor, it is not exponential expression.
Hence, Option d is not the correct answer.