Rules, Rules, Rules
The rule for this transformation is (rx, ry).
What is a dilation?
Write the coordinates of the image S(6, -3) after a rotation 270 degrees counterclockwise about the origin.
S'(-3, -6)
Triangle ABC with A(6, –2), B(–4, 10), C(–8, 6) has been transformed so that triangle A’B’C’ has coordinates
A’(–3, 1), B’(2, –5), C’(4, –3). Name/describe the transformation that took place. Be specific!
Dilation by scale factor of -1/2 (shrink)
Point E was rotated 90° counterclockwise about the origin, followed by a reflection across the line y = x, and finally dilated with a scale factor of 3. The result has coordinates E’’’(3, –12). Find the coordinates
E(1, 4)
What are the solutions of:
x2-9x+20
x=4, x=5
The rule for this transformation is (x+a, y+b).
What is a translation?
Write the coordinates of S(-3, -6) after being translated 3 units left and 5 units down, THEN reflected across the y-axis.
**(Final is S'')**
S''(6, -11)
Triangle ABC with A(–3, 4), B(–2, –2), C(5, 1) has been transformed so that triangle A’B’C’ has coordinates A’(–4, –3), B’(2, –2), C’(–1, 5).
Rotation 90 degrees counterclockwise (270 clockwise)
Point M was translated 4 units to the left and 9 units up, then rotated 180° counterclockwise about the origin, followed by a reflection across the x-axis, and finally rotated 270° counterclockwise about the origin.
The result has coordinates M’’’’(–4, 6). Find the coordinates of M.
M(10, -13)
What is the measure the hypotenuse of triangle ABC where C is the right angle, if AC=3 and CB=4.
5
What is a reflection over the y axis?
Reflection of point M(–2, –6) across the line y = x to obtain M ’, and then a dilation with a scale factor = 1/2 to obtain M ’’, finally a rotation 90° counterclockwise about the origin to obtain M ’’’.
M'''(1, -3)
Triangle ABC has coordinates
A(–4, –3), B(2, –2), C(–1, 5). Then triangle ABC is transformed to obtain triangle A’B’C’ with A’(1, –6), B’(7, –5), C’(4, 2).
Translation right 5 units, down 3 units
Point D has been rotated 270º counterclockwise about the origin, reflected across the origin, and finally translated 5 units left and 7 units up. The result has coordinates D’’’(–9, 2).
Find the coordinates of D.
D(-5, 4)
What is the axis of symmetry of the following quadratic equation:
2x2-12x+5
x=3
The rule for this transformation is (-y, x).
What is a rotation 90 degrees CC/270 degrees clockwise?
Rotation of point C(5, –2) 90° clockwise about the origin to obtain C’, and then a translation 2 units right and 4 units up to obtain
C ’’, finally a reflection across the origin to obtain C ’’’.
C'''(0, 1)
This transformation is the composite of successive reflections over two intersecting lines.
What is a rotation?
Point E has been reflected across the x-axis, translated 4 units right and 3 units down, dilated with a scale factor = 4, and finally rotated 90° counterclockwise about the origin. The result has coordinates E’’’(24, –8). Find the coordinates of E.
E(-6, -3)
Factor completely:
4x2-81y4
(2x+9y2)(2x-9y2)
Which transformations have the rule (-x, y). (You must name BOTH).
What is rotation 180 degrees or reflection across the origin?
Reflection of point E(–1, –4) across the x-axis to obtain quadrilateral E’, and then a rotation 90° counterclockwise about the origin to obtain E’’, then a dilation with a scale factor = –3 to obtain E’’’.
E'''(12, 3)
This transformation is the composite of two successive reflections through parallel lines.
What is a translation?
Point H was reflected across the origin, followed by a rotation 90° counterclockwise about the origin, and finally translated 4 units to the left and 6 units up. The result has coordinates H’’’(–7, –1).
Find the coordinates of H
H( 7, -11)
The graph of f(x)=x2 will be translated 6 units right and 5 units down. Write a function in standard from that describes a graph with these transformations.
f(x)=x2-12x+31