Advanced Algebra 1- Quadratics

Front

What is the y-intercept of a quadratic function?

Back

The y-intercept of a quadratic function is the value of the function when x = 0. It can be found by evaluating the function at x = 0.

Front

How do you find the y-intercept of the function f(x) = 6x^2 - 11x + 3?

Back

Substituting x = 0 into the function gives f(0) = 3, so the y-intercept is 3.

Front

What does the 'a' value in a quadratic equation determine?

Back

The 'a' value determines the direction in which the parabola opens. If 'a' is positive, the parabola opens upwards; if 'a' is negative, it opens downwards.

Front

What is the significance of the 'a' value being positive in a quadratic function?

Back

If 'a' is positive, the quadratic function has a minimum value, and the parabola opens upwards.

Front

What is the significance of the 'a' value being negative in a quadratic function?

Back

If 'a' is negative, the quadratic function has a maximum value, and the parabola opens downwards.

Front

How can you determine if a quadratic equation has a maximum or minimum value?

Back

You can determine this by looking at the 'a' value. If 'a' is positive, there is a minimum; if 'a' is negative, there is a maximum.

Front

What is the y-intercept of the function f(x) = 2x^2 + 4x + 6?

Back

The y-intercept is found by evaluating f(0), which gives f(0) = 6.

Front

What does the vertex of a parabola represent?

Back

The vertex of a parabola represents the maximum or minimum point of the quadratic function.

Front

What is the standard form of a quadratic equation?

Back

The standard form of a quadratic equation is f(x) = ax^2 + bx + c, where a, b, and c are constants.

Front

What is the axis of symmetry in a quadratic function?

Back

The axis of symmetry is a vertical line that divides the parabola into two mirror-image halves. It can be found using the formula x = -b/(2a).