Week 2 Quadratics Review

Front

What are the x-intercepts of the quadratic equation x² + 5x - 36 = 0?

Back

The x-intercepts are -9 and 4.

Front

What does the y-value of the vertex represent in a quadratic function?

Back

The y-value of the vertex represents the maximum or minimum height of the parabola.

Front

What is the y-intercept of a quadratic function?

Back

The y-intercept is the point where the graph intersects the y-axis, found by evaluating the function at x=0.

Front

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

Back

The x-value of the vertex can be found using the formula x = -b/(2a) from the standard form ax² + bx + c.

Front

What is the significance of the vertex in a quadratic function?

Back

The vertex indicates the maximum or minimum point of the parabola, depending on its orientation.

Front

How can you determine when a projectile reaches its maximum height using a quadratic function?

Back

The maximum height occurs at the x-value of the vertex.

Front

What does the term 'factoring' mean in the context of solving quadratic equations?

Back

Factoring involves rewriting the quadratic equation as a product of two binomials to find its roots.

Front

What is the formula for the quadratic equation?

Back

The standard form of a quadratic equation is ax² + bx + c = 0.

Front

How do you find the time when a projectile hits the ground using a quadratic equation?

Back

Set the quadratic equation equal to zero and solve for x.

Front

What is the relationship between the coefficients of a quadratic equation and its graph?

Back

The coefficients a, b, and c affect the shape, direction, and position of the parabola.