CCA2 Chapter 1-3

Front

What is the value of f(-1) if f(x)=6x^2-4?

Back

2

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

What is a possible equation of the function shown if the vertex is at (3, 1) and opens downwards?

Back

y=-\left(x-3\right)^2+1

Front

What is the RANGE of the function y=\left(x-3\right)^2+1?

Back

[1, ∞)

Front

What is the vertex of a rocket launched at an angle that reaches a height of 60 feet and lands 46 feet away?

Back

(23, 60)

Front

Define a quadratic function.

Back

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

Front

What does the vertex of a parabola represent?

Back

The highest or lowest point of the parabola, depending on its orientation.

Front

What is the axis of symmetry in a quadratic function?

Back

A vertical line that divides the parabola into two mirror-image halves, given by x=-\frac{b}{2a}.

Front

What is the standard form of a quadratic function?

Back

f(x)=ax^2+bx+c, where a, b, and c are constants.

Front

What is the effect of changing the value of 'a' in the quadratic function f(x)=ax^2?

Back

It affects the width and direction of the parabola; if |a|>1, the parabola is narrower, and if |a|<1, it is wider.