The graph of the parent quadratic function f(x) = x^2 and that of a second function of the form g(x) = ax^2 are shown. What conclusion can you make about the value of a in the equation of the second function?
Tell whether each statement about a function of the form f(x) = ax^2 is always true, sometimes true, or never true.
The graph is a parabola that opens upward.
Tell whether each statement about a function of the form f(x) = ax^2 is always true, sometimes true, or never true.
The vertex of the graph is (0, 0).
Tell whether each statement about a function of the form f(x) = ax^2 is always true, sometimes true, or never true.
The axis of symmetry of the graph is x = 0
How does the value of a in each function affect its graph when compared to the graph of the quadratic parent function?
g(x) = 6x^2
How does the value of a in each function affect its graph when compared to the graph of the quadratic parent function?
g(x) = 0.6x^2
How does the value of a in each function affect its graph when compared to the graph of the quadratic parent function?
g(x) = -7x^2
How does the value of a in each function affect its graph when compared to the graph of the quadratic parent function?
g(x) = -0.15x^2
How does the value of a in each function affect its graph when compared to the graph of the quadratic parent function?
g(x) = 0.04x^2
How does the value of a in each function affect its graph when compared to the graph of the quadratic parent function?
g(x) = 4.5x^2
Write a quadratic function for the area of the figure. (Use f(x) at the beginning of the function.)
If x = 13, what would the area of the figure be? (don't forget your label)
What are the coordinates for point C.
The graph of f(x) = ax^2 opens downward and is narrower than the graph of the quadratic parent function. Which of the following could be the value of a?
Which of the following features help you identify where point C is located?