is solving this possible
graph each function with its parent graph
f(x)= -3(x-7)^2+2
i thought it was impossible because they did not say how many units i should move it. if this was the translated graph they did not say what the parent graph was
am i right
What is the purpose of the exclaimation points? I assure you they do no good here, in fact, most of the volunteers here are more interested in a name in the name box, so we can get familiar with each students pattern of needs.
No, you are wrong.
Parent graph: f(x)=x^2
What does (x-7)^2 to a graph of x^2?
No, you can still solve the problem and graph the function even without knowing the specific parent graph. In this case, the parent graph represents the basic shape or form of the function, and it is usually a simple function like f(x) = x or f(x) = |x|.
To graph the given function, f(x) = -3(x-7)^2+2, you can start by identifying the key transformations made to the parent graph. In this equation, the function is translated horizontally by 7 units to the right and vertically by 2 units upward.
To begin, graph the parent graph, which can be a simple parabola that opens upwards (similar to y = x^2). Then, apply the transformations:
1. Translation to the right: Move each point on the graph 7 units to the right.
2. Vertical shift upward: Move each point on the graph 2 units upward.
3. Reflect if necessary: Determine if the parabola should be reflected based on the sign of the coefficient before the term (x-7)^2. Since it is negative (-3), the graph will be reflected vertically.
By applying these transformations step by step to the parent graph, you can accurately graph the function f(x) = -3(x-7)^2+2.