Write a quadratic function for the area of the figure. (Use f(x) at the beginning of the function.)
1
1
Question 13
13.
What are the coordinates for point C.
1
Question 15
15.
Question 1
1.
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.
Always True
Sometimes True
Never True
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).
Always True
Sometimes True
Never True
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
Always True
Sometimes True
Never True
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
The graph opens up
The graph opens down
The graph is narrower than the parent function
The graph is wider than the parent function
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
The graph opens up
The graph opens down
The graph is narrower than the parent function
The graph is wider than the parent function
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
The graph opens up
The graph opens down
The graph is narrower than the parent function
The graph is wider than the parent function
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
The graph opens up
The graph opens down
The graph is narrower than the parent function
The graph is wider than the parent function
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
The graph opens up
The graph opens down
The graph is narrower than the parent function
The graph is wider than the parent function
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
The graph opens up
The graph opens down
The graph is narrower than the parent function
The graph is wider than the parent function
Question 12
12.
If x = 13, what would the area of the figure be? (don't forget your label)
Question 14
14.
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?
-2
-0.5
0.5
1
2
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?
a > 1
1 > a > 0
0 > a > -1
a < -1
Which of the following features help you identify where point C is located?