Unit 7 RETEST assignment

Front

What is the vertex of a parabola?

Back

The vertex of a parabola is the point where the parabola changes direction. It is the highest or lowest point of the graph, depending on whether it opens upwards or downwards.

Front

What is the Axis of Symmetry (A.O.S) in a parabola?

Back

The Axis of Symmetry is a vertical line that divides the parabola into two mirror-image halves. It passes through the vertex and is given by the equation x = h, where (h,k) is the vertex.

Front

How do you find the x-intercepts of a parabola?

Back

To find the x-intercepts of a parabola, set y = 0 in the quadratic equation and solve for x. The solutions are the x-intercepts.

Front

What does it mean when a parabola opens upwards?

Back

A parabola opens upwards when the coefficient of the x^2 term in the quadratic equation is positive. It has a minimum point at the vertex.

Front

What does it mean when a parabola opens downwards?

Back

A parabola opens downwards when the coefficient of the x^2 term in the quadratic equation is negative. It has a maximum point at the vertex.

Front

What is the standard form of a quadratic equation?

Back

The standard form of a quadratic equation is y = ax^2 + bx + c, where a, b, and c are constants and a ≠ 0.

Front

How do you simplify the expression (9n^4)(6n^7)?

Back

To simplify, multiply the coefficients (9 * 6 = 54) and add the exponents of n (4 + 7 = 11). The result is 54n^11.

Front

What is the vertex form of a parabola?

Back

The vertex form of a parabola is y = a(x - h)^2 + k, where (h,k) is the vertex and 'a' determines the direction and width of the parabola.

Front

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

Back

The vertex represents the maximum or minimum value of the quadratic function, depending on the direction the parabola opens.

Front

How do you determine if a quadratic function has a maximum or minimum?

Back

If the coefficient of x^2 is positive, the function has a minimum; if it is negative, the function has a maximum.