Vertex Form and Quadratic Properties

Front

What is the y-intercept of the quadratic function f(x) = -7x² + 4x + 2?

Back

(0, 2)

Front

What is another name for the x-intercepts of a quadratic?

Back

zeros

Front

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

Back

(-5, -4)

Front

What is the vertex of the parabola represented by the equation y = -2(x - 4)² + 3?

Back

(4, 3)

Front

Which best describes the vertex of a parabola?

Back

The highest or lowest point of a parabola.

Front

What is the standard form of a quadratic equation?

Back

y = ax² + bx + c

Front

How do you find the axis of symmetry for a quadratic function?

Back

x = -b/(2a) where a and b are coefficients from the standard form.

Front

What does the 'a' value in the vertex form of a quadratic indicate?

Back

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

Front

What is the vertex form of a quadratic function?

Back

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

Front

How do you determine if a quadratic opens upwards or downwards?

Back

By the sign of 'a' in the equation y = ax² + bx + c.