Algebra 2 Mid-Term 2025 Summer Recovery Credit. Ms. Alejo

Front

If the discriminant is negative, then the quadratic has:

Back

2 Complex Solutions

Front

Find the difference: (3 - 2x + 2x²) - (4x - 5 + 3x²)

Back

-x² - 6x + 8

Front

Describe the transformations of f(x) when compared to the parent function: f(x)=x²+5

Back

vertical shift up 5 units

Front

Describe the transformations of f(x) when compared to the parent function: f(x)=(x+7)²

Back

horizontal shift left 7 units

Front

What is the formula for the quadratic equation?

Back

ax² + bx + c = 0

Front

What does the vertex of a parabola represent?

Back

The highest or lowest point of the parabola.

Front

What is the axis of symmetry in a quadratic function?

Back

The vertical line that divides the parabola into two mirror images.

Front

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

Back

Use the formula x = -b/(2a) to find the x-coordinate, then substitute back to find the y-coordinate.

Front

What is the significance of the leading coefficient in a quadratic function?

Back

It determines the direction of the parabola (upward or downward).

Front

What is the difference between rational and irrational solutions?

Back

Rational solutions can be expressed as fractions, while irrational solutions cannot be expressed as simple fractions.