Quadratics Homework

Front

Convert the equation y= x²-2x-5 into vertex form.

Back

y= (x-1)²-6

Front

What is the equation for the axis of symmetry of a quadratic function?

Back

x = -b/(2a) where a and b are coefficients from the standard form y = ax² + bx + c.

Front

The axis of symmetry line passes through which point?

Back

Vertex

Front

What do we call the highest or lowest point of a quadratic?

Back

Vertex

Front

If given the equation y = 3(x + 5)² - 4, what is the vertex of the parabola?

Back

(-5, -4)

Front

What is the standard form of a quadratic equation?

Back

y = ax² + bx + c

Front

What does the 'a' value in a quadratic equation determine?

Back

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

Front

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

Back

Set x = 0 in the equation.

Front

What is the vertex form of a quadratic equation?

Back

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

Front

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

Back

It determines the nature of the roots: positive (two real roots), zero (one real root), negative (no real roots).