Respuesta :
The comparison of the number of x-intercepts in the graph of f(x)=x^2 to the number of x-intercepts in the graph of g(x)=(x+1)^2 how that:
- x-intercept of f(x) is 0
- x-intercept of g(x) is -1
- g(x) is the image of f(x) after translating it 1 unit to the left.
How to illustrate the information?
A graph is a diagram representing a system of connections or interrelations among two or more things by a number of distinctive dots, lines, bars, etc. It depicts a series of points, discrete or continuous, as in forming a curve or surface, each of which represents a value of a given function.
In the graph f(x) = x²
The x-intercept = 0 ⇒ ∵ f(x) = 0 ⇒ ∴ x² = 0 ⇒ x = 0
The vertex of the parabola is (0 , 0). The vertex of a parabola is the point where the parabola crosses its axis of symmetry.
In the graph g(x) = (x + 1)²
The x-intercept = 0 ⇒ ∵ g(x) = 0 ⇒ ∴ (x + 1)² = 0. The x-intercept is the point at which the graph of an equation crosses the x-axis.
x + 1 = 0 ⇒ x = -1
The vertex of the parabola is (-1 , 0). Therefore g(x) is the image of f(x) after translating it 1 unit to the left
Learn more about graph on:
https://brainly.com/question/2646528
#SPJ1
