CONVERTING QUADRATIC EQUATIONS

Front

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

Back

The equation for the axis of symmetry is given by x = h, where (h, k) is the vertex of the parabola.

Front

Determine the vertex of the parabola represented by the equation y=5(x-2)²–7.

Back

The vertex of the parabola is (2, -7).

Front

Convert the equation from vertex form to standard form: y=4(x+2)²-8.

Back

The standard form of the equation is y=4x²+16x+8.

Front

What is the U-shaped graph of a quadratic function called?

Back

The U-shaped graph of a quadratic function is called a Parabola.

Front

What is the vertex of the quadratic function represented by the point (3, -1)?

Back

The vertex of the quadratic function is (3, -1).

Front

What is the standard form of a quadratic equation?

Back

The standard form of a quadratic equation is y = ax² + bx + c.

Front

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

Back

The 'a' represents the coefficient that determines the direction and width of the parabola.

Front

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

Back

The vertex can be found using the formula x = -b/(2a) and then substituting x back into the equation to find y.

Front

What is the significance of the discriminant in a quadratic equation?

Back

The discriminant (b² - 4ac) determines the nature of the roots: two real roots, one real root, or no real roots.

Front

What is the formula for the axis of symmetry in a quadratic function?

Back

The formula for the axis of symmetry is x = -b/(2a).