Front

What is the vertex form of a quadratic function?

Back

Front

Back

To find the vertex, rewrite the function in vertex form. The vertex is at (h, k) where h = -b/(2a) and k = f(h). For this function, the vertex is (2, -5).

Front

Back

To solve the system, substitute the second equation into the first. The solution for x is 6.5.

Front

What does the y-intercept of a function represent?

Back

The y-intercept is the point where the graph of the function crosses the y-axis, represented as (0, y).

Front

How do you determine the y-intercept from a function's equation?

Back

To find the y-intercept, set x = 0 in the function's equation and solve for y.

Front

What is the axis of symmetry in a quadratic function?

Back

Front

What are x-intercepts of a function?

Back

X-intercepts are the points where the graph of the function crosses the x-axis, represented as (x, 0).

Front

How do you find the x-intercepts of a quadratic function?

Back

To find the x-intercepts, set the function equal to zero and solve for x.

Front

What is the standard form of a quadratic function?

Back

Front

What is the significance of the coefficient 'a' in a quadratic function?

Back

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