Quadratic Standard Form Flashcard Exit Slip

Front

What is the y-intercept of the quadratic equation y = ax^2 + bx + c?

Back

The y-intercept is the point where the graph intersects the y-axis, which occurs when x = 0. For the equation y = -8x^2 + 3x - 7, the y-intercept is (0, -7).

Front

Identify the coefficient 'b' in the quadratic function f(x) = ax^2 + bx + c.

Back

The coefficient 'b' is the coefficient of the linear term. In f(x) = 3x^2 + 4x - 5, b = 4.

Front

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

Back

The x-value of the vertex can be found using the formula x = -b/(2a). For y = 3x^2 - 6x + 4, the x-value of the vertex is x = 1.

Front

What is the value of 'c' in the quadratic function f(x) = ax^2 + bx + c?

Back

The value 'c' is the constant term of the quadratic function. In f(x) = 3x^2 + 4x - 5, c = -5.

Front

What is the standard form of a quadratic function?

Back

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

Front

What does the coefficient 'a' indicate in a quadratic function?

Back

The coefficient 'a' indicates the direction of the parabola. If 'a' is positive, the parabola opens upwards; if 'a' is negative, it opens downwards.

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).

Front

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

Back

If 'a' is positive, the function has a minimum value at the vertex. If 'a' is negative, the function has a maximum value at the vertex.

Front

What is the vertex of a quadratic function?

Back

The vertex is the highest or lowest point of the parabola, depending on the direction it opens. It can be found using the vertex formula (h, k) where h = -b/(2a) and k is the function value at h.

Front

What is the discriminant in a quadratic equation?

Back

The discriminant is the part of the quadratic formula under the square root, given by b^2 - 4ac. It determines the nature of the roots.