Intro to Quadratic Word Problems Day 1 Practice

Front

What is a quadratic equation?

Back

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

Front

What does the graph of a quadratic equation look like?

Back

The graph of a quadratic equation is a parabola, which can open upwards or downwards depending on the sign of 'a'.

Front

What is the vertex of a parabola?

Back

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

Front

How do you find the axis of symmetry of a parabola?

Back

The axis of symmetry can be found using the formula x = -b/(2a) from the quadratic equation y = ax² + bx + c.

Front

What does the y-intercept represent in a quadratic equation?

Back

The y-intercept represents the height of the object at time t=0, or the starting height.

Front

What does the x-intercept represent in a quadratic equation?

Back

The x-intercept(s) represent the time(s) when the object hits the ground (height = 0).

Front

How do you determine the maximum height of a projectile modeled by a quadratic equation?

Back

To find the maximum height, calculate the y-coordinate of the vertex using the axis of symmetry.

Front

What is the significance of the coefficients a, b, and c in a quadratic equation?

Back

The coefficient 'a' determines the direction and width of the parabola, 'b' affects the position of the vertex, and 'c' is the y-intercept.

Front

What is the formula for the vertex of a parabola in standard form?

Back

The vertex (h, k) can be found using h = -b/(2a) and k = f(h), where f(h) is the value of the quadratic function at x = h.

Front

What is the Quadratic Formula?

Back

The Quadratic Formula is x = (-b ± √(b² - 4ac)) / (2a), used to find the roots of a quadratic equation.