Which Graph Represents The Function F(X) = –X2 + 5?

Which Graph Represents The Function F(X) = –X2 + 5?. Rewrite the function as an equation. It goes through (negative 3, negative 4), has a vertex at (0, 5), and goes through (3, negative 4).

Graph of f(x)=x^25
Graph of f(x)=x^25 from www.geteasysolution.com

The x x values should be selected around the vertex. And this quadratic function is in vertex form as seen right here, and because it's plus five inside parentheses, that tells me that the x value of my vertex is going to be negative five because it was of the form x minus. A is a coefficient (h,k) is the vertex.

On A Coordinate Plane, A Parabola Opens Down.

Get more help from chegg. Find the values of and using the form. The x x values should be selected around the vertex.

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This Is A Vertical Parabola Open Downward.

G (x) = (x + 7)2 + 5. It goes through (negative 3, negative 4), has a vertex at (0, 5), and goes through (3, negative 4). For example, we have a quadratic function f (x) = 2x 2 + 4x + 4.

Replace The Variable X X With 1 1 In The Expression.

Which graph represents the function? And this quadratic function is in vertex form as seen right here, and because it's plus five inside parentheses, that tells me that the x value of my vertex is going to be negative five because it was of the form x minus. On a coordinate plane, a parabola opens down.

The Graph Of G (X) Is A Translation Of The Function F (X) = X2.

It goes through (negative 2, 9), has a vertex at (0, 5), and goes through (2, 9). When given the focus and directrix of a parabola, we can write its equation in standard form. The vertex of g (x) is located 5 units above and 7 units to the right of the vertex of f (x).

Select A Few X X Values, And Plug Them Into The Equation To Find The Corresponding Y Y Values.

Given that a is positive (i.e. On a coordinate plane, a parabola opens up. If the vertex is at some other point on the graph, then a translation or a transformation of the parabola has occurred.