Math 2-Unit 2 Midterm Review Day 1

Front

What does the function 𝑦 =(𝑥 + 3)² + 20 represent in terms of transformations?

Back

Shift 3 units to the left and 20 units up.

Front

What is the vertex of the quadratic function 𝑦 = (𝑥 − 2)² + 3?

Back

(2, 3)

Front

What is the vertex form of the quadratic function 𝑦 = 2(𝑥 + 4)² − 5?

Back

Vertex at (−4, −5)

Front

What is the location of the vertex of the quadratic function 𝑦 = (𝑥 + 6)² + 2?

Back

(−6, 2)

Front

What is the general form of a quadratic function?

Back

y = ax² + bx + c, where a, b, and c are constants.

Front

How do you find the vertex of a quadratic function in vertex form?

Back

The vertex is given by the point (h, k) in the function y = a(x - h)² + k.

Front

What does the 'a' value in a quadratic function indicate about the graph?

Back

The 'a' value indicates the direction of the parabola (upward if a > 0, downward if a < 0) and its width.

Front

What is the axis of symmetry for the quadratic function y = (x - 3)² + 4?

Back

x = 3.

Front

How do you determine the direction of opening for a quadratic function?

Back

If 'a' is positive, the parabola opens upwards; if 'a' is negative, it opens downwards.

Front

What is the significance of the vertex in a quadratic function?

Back

The vertex represents the maximum or minimum point of the parabola.