Quadratics - Finding the vertex

Front

Find the vertex of the following quadratic equation: y = -x² + 2x + 1

Back

(1, 2)

Front

Does the following parabola open up or down? y = -4x² - 10x + 5

Back

down

Front

Find the vertex of the following quadratic equation: y = 3x²

Back

(0, 0)

Front

The U-shaped graph of a quadratic equation is called a ________.

Back

parabola

Front

Does the following parabola open up or down? f(x) = 120x² - 25x + 75

Back

up

Front

What is the standard form of a quadratic equation?

Back

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

Front

What does the coefficient 'a' in a quadratic equation determine?

Back

The direction of the parabola: if 'a' is positive, it opens up; if 'a' is negative, it opens down.

Front

How do you find the x-coordinate of the vertex of a quadratic equation in standard form?

Back

x = -b/(2a) where the equation is y = ax² + bx + c.

Front

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

Back

(2, -2)

Front

What is the axis of symmetry in a quadratic function?

Back

A vertical line that passes through the vertex, given by x = -b/(2a).