Graphing Quadratics in Standard form

Front

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

Back

Vertex

Front

The standard form of a quadratic function is

Back

ax² + bx + c

Front

What is the green dot on the parabola called?

Back

Maximum

Front

What is the range of the function f(x) = -x² - 4x + 12?

Back

(-∞, 1]

Front

What is the vertex of the function f(x) = -x² - 4x + 12?

Back

(-2, 16)

Front

What is the axis of symmetry in a quadratic function?

Back

x = -b/(2a)

Front

What does the 'a' in the standard form ax² + bx + c represent?

Back

The coefficient that determines the direction and width of the parabola.

Front

What is the effect of a negative 'a' value in a quadratic function?

Back

It opens the parabola downwards.

Front

What are the x-intercepts of a quadratic function?

Back

The points where the graph intersects the x-axis, also known as roots or zeros.

Front

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

Back

By evaluating f(0) = c.