Math 2: Review

Front

What transformations are applied to the parent function y = x² to get y = -1/2(x - 1)² + 3?

Back

Reflection over the x-axis, vertical compression by a factor of 1/2, horizontal shift right by 1 unit, vertical shift up by 3 units.

Front

Write the translation rule for the transformation that moves a point to (x + 2, y - 1).

Back

(x + 2, y - 1)

Front

Similar figures have the same ______ but different ______.

Back

shape; sizes

Front

What is the criterion for triangle congruence if two sides and the included angle are known?

Back

SAS (Side-Angle-Side) congruence.

Front

If two triangles are congruent, what can be said about their corresponding angles and sides?

Back

Their corresponding angles and sides are equal.

Front

What is the effect of a vertical compression on a function's graph?

Back

The graph is 'squished' towards the x-axis, making it flatter.

Front

What does a horizontal shift to the right by 3 units do to the function y = f(x)?

Back

The new function is y = f(x - 3).

Front

What is the definition of congruent triangles?

Back

Triangles that have the same size and shape.

Front

What does the term 'reflection' mean in the context of graph transformations?

Back

It means flipping the graph over a specific axis.

Front

If a triangle has sides of lengths 3, 4, and 5, what type of triangle is it?

Back

It is a right triangle.