compare the parent function f(x)=x^2 to the quadractic function f(x)=-2x^2-6. the 6 in the function does which of the following?
a.it makes the graph narrower than the parent function.
b.it makes the graph wider than the parent function.
c.it causes the graph to reflect across the x-axis and open downward
d.it shifts the vertex of the graph vertically
1.C
2.B
3.D
4.A
These are the Quick Check Answers
Quadratic Graphs and Their Properties 4. Quadratic Functions and Equations > 1. Quadratic Graphs and Their Properties
c
b
d
a
d
for 5.1.5 - Quick Check: Quadratic Graphs and Their Properties
5. Is D
changing y moves the graph up and down
Take a look at
y = -2x^2
y = -2x^2-6
You can do multiple graphs at
wolframalpha.com
desmos.com
or, use your own graph paper!
B involves compressing the graph horizontally. That is, a smaller value for x produces the same value for y
In this case, y=2x^2 = (√2 x)^2
So, The 2 involves a horizontal compression.
Alternatively, y = 2x^2 stretches the graph vertically, since it doubles the y-value for any particular value of x.
anonymous and coolskeleton95 are right( with 5 being d)
1. What is the vertex of the parabola?
c.) (1,-4)
2. Which of the following has a graph that is wider than the graph of y=3x^2+2?
b.) y=0.5x^2+1
3. Which graph represents the function y=-2x^2-5?
its the last graph, but if u wanna check it, copy and past the equation into desmos.com
4.What is the order, from narrowest to widest graph, of the quadratic functions f(x)=-10^2,f(x_=2x^2,f(x)=0.5x^2
a.) f(x)=-10^2,f(x_=2x^2,f(x)=0.5x^2
I've been using jiska for a while now, and I wanted to give back to you guys for helping me sm
since it changes y by -6, what do you think?
So what do you think?
To compare the parent function f(x) = x^2 to the quadratic function f(x) = -2x^2 - 6, we need to analyze the effect of the constant term (-6) in the equation.
The parent function f(x) = x^2 represents a basic quadratic function. It opens upward with a vertex at (0, 0) and has a graph that widens as x moves away from the vertex.
In the quadractic function f(x) = -2x^2 - 6, the constant term (-6) will shift the graph vertically. By subtracting 6 from the function, we effectively move the entire graph 6 units downward.
Therefore, the correct answer is option d. It shifts the vertex of the graph vertically.