Math 2-Unit 2 Midterm Review Day 2

Front

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

Back

𝑥 = 2

Front

What is the factored form of y=x²-9x+14?

Back

(x-7)(x-2)

Front

What is the standard form of a quadratic function?

Back

𝑓(𝑥) = 𝑎𝑥² + 𝑏𝑥 + 𝑐

Front

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

Back

𝑦 = 𝑥² − 4𝑥 + 7

Front

What is the vertex form of a quadratic function?

Back

𝑓(𝑥) = 𝑎(𝑥 − ℎ)² + 𝑘, where (h,k) is the vertex.

Front

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

Back

The vertex can be found using the formula (−b/2a, f(−b/2a)).

Front

What is the quadratic formula?

Back

x = (−b ± √(b² − 4ac)) / 2a

Front

What does the discriminant tell you about the roots of a quadratic equation?

Back

If b² - 4ac > 0, there are 2 real roots; = 0, 1 real root; < 0, no real roots.

Front

What is the relationship between the coefficients and the roots of a quadratic equation?

Back

For ax² + bx + c = 0, the sum of the roots is -b/a and the product is c/a.

Front

What is the effect of changing the value of 'a' in the quadratic function 𝑓(𝑥) = 𝑎(𝑥 − ℎ)² + 𝑘?

Back

Changing 'a' affects the width and direction of the parabola (narrower for |a| > 1, wider for |a| < 1).