Algebra II B Unit 1

Front

What is the transformation of the equation that reflects it and shifts it 5 units to the right and 2 units up?

Back

Reflect/Right 5/Up 2

Front

Given the functions f(x)=x^2-4 and h(x)=3x+3, what is f(h(x))?

Back

9x^2+18x+5

Front

What is the domain of the function f(x)=x^4+7x^2+7?

Back

All real numbers

Front

Find a quadratic model for the data given in the table of ski sales.

Back

s=-2t^2+24t+10

Front

Write the equation in standard form of the parabola passing through the points in the given table.

Back

y=x^2-x+5

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 does it mean for a function to be quadratic?

Back

A quadratic function is a polynomial function of degree 2, typically in the form f(x)=ax^2+bx+c.

Front

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

Back

The axis of symmetry can be found using the formula x=-b/(2a).

Front

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

Back

The discriminant (b^2-4ac) determines the nature of the roots: if >0, two real roots; =0, one real root; <0, no real roots.

Front

What is the standard form of a quadratic equation?

Back

The standard form is ax^2 + bx + c = 0.