Solving Quadratics Factoring and Square Root v2

Front

What are the zeros of a quadratic equation?

Back

The zeros of a quadratic equation are the values of x that make the equation equal to zero. They are also known as the roots of the equation.

Front

Solve for x: 3x² = -60

Back

no real solutions

Front

Solve: (x-5)² = 25

Back

x = 10, 0

Front

What is another word for zeros in a quadratic equation?

Back

roots

Front

If we have the equation y=ax²+bx+c, how can we find the x-coordinate of the vertex?

Back

-b/2a

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 'a' in the quadratic equation y = ax² + bx + c represent?

Back

The 'a' represents the coefficient of x² and determines the direction of the parabola (upward if a > 0, downward if a < 0).

Front

What is the vertex of a parabola?

Back

The vertex is the highest or lowest point of the parabola, depending on the direction it opens.

Front

How do you find the y-intercept of a quadratic equation?

Back

The y-intercept can be found by setting x = 0 in the equation y = ax² + bx + c.

Front

What is the axis of symmetry in a quadratic function?

Back

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