Algebra 2 Chapter 4 Lesson 1 and 2; True False
True
A quadratic function will graph as a parabola
True
For every quadratic function that we have worked with this year, the axis of symmetry has been a vertical line
False - only the x-coordinate can be calculated
It is possible to calculate both the coordinates of the vertex of y = -11x^2 + 4x + c even though the value of c is not given.
True
It is possible to convert the standard form of a quadratic function to vertex form.
True
It is very helpful to know the y-coordinate of the vertex when you want to state the range of a quadratic function.
True
The axis of symmetry of a quadratic function is always x = some number, for instance, x = 4, or x = -5.
False - swap 'domain' for 'range'
The domain of a quadratic function is the set of outputs, the y-values.
False - swap 'y = 0' to 'x = 0'
The equation of the y-axis is y = 0
True
The formula used to find the x-coordinate of the vertex of a quadratic function is the same formula that is used to find the axis of symmetry.
True
The function y = -4(x+3)^2+7 has a maximum value.
False - swap 'left' for 'right'
The graph of y = (x-9)^2 is the same as the graph of y = x^2 but moved to the left 9 units
True
The graph of y = -4(x+3)^2 + 7 opens down.
True
The minimum value of a quadratic function that opens up is the y-coordinate of the vertex.
True
The parent quadratic function is y = x^2
False - swap 'range' for 'domain'
The range of a quadratic function is the set of all real numbers.
False - swap 'standard' for 'vertex'
The vertex of a quadratic function in standard form is quickly and easily determined without doing any calculations
True
The y-intercept of a quadratic function is easily determined if the equation is in standard form.
False - raise (x-5) to the second power (^2)
This is an example of a quadratic function: f(x) = (x-5) + 7