M2 MO #6 Graphing Quadratics

Front

What is the vertex of the quadratic function: y = (x + 1)(x - 3)?

Back

(1, -4)

Front

What is the vertex of the function f(x) = 2(x - 5)² + 12?

Back

(5, 12)

Front

Which equation matches the graph of a parabola with vertex at (2, 3)?

Back

y=(x-2)²+3

Front

What is the axis of symmetry in a quadratic function?

Back

The line that passes through the vertex.

Front

What is the vertex of the quadratic function: y = x² - 6x + 9?

Back

(3, 0)

Front

How do you find the vertex of a quadratic function 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 is the vertex of the quadratic function: y = -2(x + 1)² + 4?

Back

(-1, 4)

Front

What does the 'a' value in the quadratic function y = ax² + bx + c indicate?

Back

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

Front

What is the y-intercept of the quadratic function y = x² - 4?

Back

(0, -4)

Front

What is the vertex of the quadratic function: y = 3x² + 6x + 2?

Back

(-1, -1)