Quadratics part 2 practice test check

Front

What is a quadratic equation?

Back

A quadratic equation is a polynomial equation of degree 2, typically in the form ax² + bx + c = 0, where a, b, and c are constants and a ≠ 0.

Front

What are the zeros of a quadratic function?

Back

The zeros of a quadratic function are the values of x for which the function equals zero. They can be found by solving the equation ax² + bx + c = 0.

Front

How do you solve the equation 4m² - 100 = 0?

Back

Factor the equation: (2m - 10)(2m + 10) = 0. The solutions are m = 5 and m = -5.

Front

What is the vertex of a parabola represented by the equation y = ax² + bx + c?

Back

The vertex of the parabola can be found using the formula (-b/(2a), f(-b/(2a))). It represents the maximum or minimum point of the parabola.

Front

What does it mean for a quadratic function to open upwards or downwards?

Back

A quadratic function opens upwards if the coefficient a > 0 and downwards if a < 0.

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, given by the formula x = -b/(2a).

Front

How do you find the y-intercept of a quadratic function?

Back

The y-intercept of a quadratic function is found by evaluating the function at x = 0, which gives the point (0, c) in the equation y = ax² + bx + c.

Front

What is the standard form of a quadratic function?

Back

The standard form of a quadratic function is y = ax² + bx + c, where a, b, and c are constants.

Front

What is the factored form of a quadratic function?

Back

The factored form of a quadratic function is y = a(x - r₁)(x - r₂), where r₁ and r₂ are the roots or zeros of the function.

Front

How do you determine the direction of a parabola?

Back

The direction of a parabola is determined by the sign of the coefficient a in the quadratic equation. If a > 0, it opens upwards; if a < 0, it opens downwards.