5.4 Solving Quadratics by Multiple Methods HW

Front

What does i^2 equal?

Back

-1

Front

If the discriminant equals 0, how many real solutions does the quadratic have?

Back

1 Real Solution

Front

What is the formula for the discriminant of a quadratic equation?

Back

b² - 4ac

Front

Find the zeros of the quadratic equation: x^2 + 3x - rac{12}{5} = 0.

Back

b = {-3, \frac{4}{5}}

Front

If the graph of a quadratic does not intercept the x-axis, how many real solutions does it have?

Back

No Real Solution

Front

What is the standard form of a quadratic equation?

Back

y = ax^2 + bx + c

Front

What does the vertex of a quadratic represent?

Back

The highest or lowest point of the parabola.

Front

How can you determine the direction of a parabola?

Back

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

Front

What is the axis of symmetry in a quadratic function?

Back

x = -\frac{b}{2a}.

Front

What is the quadratic formula used for?

Back

To find the solutions of a quadratic equation: x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}.