Parts of a Parabola

Front

What is the vertex of the parabola y = x² - 4x + 5?

Back

(2, 1)

Front

What are the solutions of the equation 0 = x² - 5x + 1?

Back

0.2 and 4.8

Front

Does the graph of the parabola y = x² - 4x + 5 have a maximum or minimum?

Back

Minimum

Front

What is the standard form of a quadratic equation?

Back

y = ax² + bx + c

Front

What is the axis of symmetry for f(x) = x² - 4x + 5?

Back

x = 2

Front

What is the general shape of a parabola?

Back

A U-shaped curve that can open upwards or downwards.

Front

What does the coefficient 'a' in the quadratic equation y = ax² + bx + c determine?

Back

The direction of the parabola (upward if a > 0, downward if a < 0).

Front

How do you find the vertex of a parabola given in standard form?

Back

Use the formula (h, k) where h = -b/(2a) and k = f(h).

Front

What is the significance of the y-intercept in a parabola?

Back

It is the point where the parabola crosses the y-axis, found by evaluating f(0).

Front

What is the formula for the axis of symmetry of a parabola?

Back

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