Review Unit 5 lessons 1 to 4

Front

What is the vertex of the parabola represented by the equation y = -x² - 4x + 12?

Back

(-2, 16)

Front

What does it mean for a graph to have a minimum?

Back

A minimum is the lowest point on the graph of a function, where the function changes from decreasing to increasing.

Front

What is the y-intercept of the equation y = -8x² + 3x - 7?

Back

(0, -7)

Front

How do you find the vertex of a quadratic function in standard form?

Back

Use the formula x = -b/(2a) to find the x-coordinate, then substitute back to find the y-coordinate.

Front

What is the general form of a quadratic equation?

Back

y = ax² + bx + c, where a, b, and c are constants.

Front

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

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.

Front

What is the axis of symmetry in a parabola?

Back

The axis of symmetry is a vertical line that divides the parabola into two mirror-image halves, given by x = -b/(2a).

Front

What is the difference between a maximum and a minimum in a quadratic function?

Back

A maximum is the highest point on the graph, while a minimum is the lowest point.

Front

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

Back

If 'a' is positive, the function has a minimum; if 'a' is negative, it has a maximum.

Front

What is the vertex of the parabola represented by the equation y = -2x² + 8x - 6?

Back

(2, 2)