Algebra 2 Standard Flashcard

Front

What is the vertex of the quadratic equation y = 2(x + 2)² + 5?

Back

(-2, 5)

Front

What is the vertex of the parabola given by the equation y = 3(x + 5)² - 4?

Back

(-5, -4)

Front

What is the vertex of the function f(x) = 2(x - 5)² + 12?

Back

(5, 12)

Front

If the discriminant of a quadratic equation is positive, how many real solutions does it have?

Back

2 Real Solutions

Front

What transformation occurs when the graph of y = x² is changed to y = x² + 8?

Back

shifted up 8 units

Front

What is the standard form of a quadratic equation?

Back

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

Front

What does the vertex of a parabola represent?

Back

The highest or lowest point of the parabola, depending on its orientation.

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 equation y = a(x - h)² + k.

Front

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

Back

x = 3

Front

What does a negative value of 'a' in the quadratic equation indicate about the parabola?

Back

The parabola opens downward.