Math 2 Unit 4 Review

Front

What is the vertex point of a parabola?

Back

The vertex point of a parabola is the maximum or minimum point of the graph, depending on its orientation.

Front

Identify the coefficients a, b, and c in the equation y=2x^2-7+4x.

Back

a=2, b=4, c=-7

Front

In the equation y=ax^2+bx+c, which part helps you find the y-intercept?

Back

The y-intercept is found using the value of c.

Front

What is the vertex of the function f(x) = x^2 + 6x + 10?

Back

The vertex is (-3, 1).

Front

Find the vertex of the equation y=(x+2)(x+6).

Back

The vertex is (-4, -4).

Front

What is the standard form of a quadratic equation?

Back

The standard form is y = ax^2 + bx + c.

Front

How do you determine if a parabola opens upwards or downwards?

Back

If a > 0, the parabola opens upwards; if a < 0, it opens downwards.

Front

What is the axis of symmetry in a parabola?

Back

The axis of symmetry is the vertical line that passes through the vertex, given by x = -b/(2a).

Front

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

Back

The vertex can be found using the formula x = -b/(2a) and then substituting x back into the equation to find y.

Front

What are the x-intercepts of a quadratic function?

Back

The x-intercepts are the points where the graph crosses the x-axis, found by solving the equation y = 0.