Complete the Square and Solving Practice

Front

What is the first step in solving the equation x² + 6x - 13 = 3?

Back

Make it equal 0 by subtracting 3 on each side.

Front

What is the green dashed line in a parabola called?

Back

The axis of symmetry.

Front

Find the coordinates of the vertex (x, y) from the expression: y = 2x² + 4x + 6.

Back

(-1, 4)

Front

Write the quadratic expression x² + 8x + 2 in completed square form.

Back

(x + 4)² - 14.

Front

What are the solutions to the equation (x-3)(x+2)=0?

Back

x=3, -2.

Front

What is the standard form of a quadratic equation?

Back

y = ax² + bx + c.

Front

How do you find the vertex of a parabola given 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 does completing the square help to identify in a quadratic equation?

Back

It helps to find the vertex and the direction of the parabola.

Front

What is the axis of symmetry in a quadratic function?

Back

A vertical line that divides the parabola into two mirror images, given by x = -b/(2a).

Front

What is the vertex form of a quadratic equation?

Back

y = a(x - h)² + k, where (h, k) is the vertex.