H Algebra II Semester 1 Review

Front

What is the range of the function f(x) = x^2?

Back

[0, ∞) - The range of the parent function f(x) = x^2 is all non-negative real numbers.

Front

What is the transformation of the function f(x) = 2(x−3)^2 - 9 from the parent function f(x) = x^2?

Back

Vertical stretch by a factor of 2, right 3 units, down 9 units.

Front

Solve the equation: 1/2|x + 4| - 3 = 7

Back

{16, -24} - The solution set includes 16 and -24.

Front

Determine if the relation {(1,2), (2,3), (3,4)} is a function.

Back

Function - Each input has exactly one output.

Front

Does the graph of the function f(x) = x^2 have a maximum or minimum?

Back

Minimum - The graph opens upwards, indicating a minimum point.

Front

What is the definition of a function?

Back

A relation where each input has exactly one output.

Front

What is the vertex form of a quadratic function?

Back

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

Front

What does a vertical stretch of a function do?

Back

It multiplies the output values by a factor greater than 1, making the graph narrower.

Front

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

Back

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

Front

What is the axis of symmetry for the function f(x) = x^2 + 4x + 3?

Back

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