CCA2 Chapter 1-3

Front

Factor the expression: 3a^2 + 4a + 1

Back

(3a+1)(a+1)

Front

State the transformations of the function: y=\frac{1}{3}(x-7)^2+4

Back

compression \times \frac{1}{3}, right 7, up 4

Front

If f(x)=6x^2-4, what is f(-1)?

Back

2

Front

Rewrite the equation y=x^2-6x+1 in GRAPHING FORM.

Back

y=(x-3)^2-8

Front

Let w(x) = 3x - 7. If w(x) = 14, find x.

Back

7

Front

What is the vertex form of a quadratic function?

Back

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

Front

Define a quadratic function.

Back

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

Front

What is the axis of symmetry for a quadratic function?

Back

The axis of symmetry is the vertical line x=-\frac{b}{2a}.

Front

How do you find the roots of a quadratic equation?

Back

You can find the roots using the quadratic formula: x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}.

Front

What does it mean for a function to be in standard form?

Back

A function is in standard form if it is expressed as f(x)=ax^2+bx+c.