Alg Reasoning: Quadratic Function Attributes

Front

The vertex is the _______ because a > 0 in this quadratic equation.

Back

minimum

Front

The axis of symmetry of a quadratic function is given by the formula _______.

Back

x = -b/(2a)

Front

In the quadratic function f(x) = ax^2 + bx + c, the value of 'a' determines whether the parabola opens _______ or _______.

Back

upward; downward

Front

The y-intercept of a quadratic function can be found by evaluating the function at _______.

Back

x = 0

Front

The standard form of a quadratic function is _______.

Back

f(x) = ax^2 + bx + c

Front

The roots of a quadratic equation can be found using the _______ formula.

Back

quadratic

Front

The discriminant of a quadratic equation is given by _______.

Back

b^2 - 4ac

Front

If the discriminant is positive, the quadratic equation has _______ real roots.

Back

two

Front

If the discriminant is zero, the quadratic equation has _______ real roots.

Back

one

Front

If the discriminant is negative, the quadratic equation has _______ real roots.

Back

no