Graphing Quadratics

Front

What is another word for zeros?

Back

x-intercepts

Front

When comparing the graph of g(x) = 4x² to the parent function f(x) = x², how does g(x) behave?

Back

g(x) is a vertical stretch (narrower).

Front

What is the axis of symmetry for the quadratic function h(x) = x² + 4x - 12?

Back

x = -2

Front

Does the equation Y = -3x² + 7x - 2 open up or down?

Back

down

Front

When comparing the graph of g(x) = 0.5x² to the parent function f(x) = x², how does g(x) behave?

Back

g(x) is a vertical shrink (wider).

Front

What is the vertex of the quadratic function f(x) = x² - 4x + 3?

Back

(2, -1)

Front

How do you find the x-intercepts of a quadratic function?

Back

Set f(x) = 0 and solve for x.

Front

What does the term 'discriminant' refer to in a quadratic equation?

Back

The discriminant is the part of the quadratic formula under the square root, b² - 4ac, which determines the nature of the roots.

Front

What is the standard form of a quadratic function?

Back

f(x) = ax² + bx + c.

Front

What does it mean if a quadratic opens upwards?

Back

The coefficient 'a' in f(x) = ax² + bx + c is positive.