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Question 73929This question is from textbook Algebra Structure and Method
: Written Exercises#6,14,30,38 Pgs.386-387
6.Draw the graph of the linear function n(x)=0
14.For the function f(x)= 4x-x^2 find the coordinates of the vertx, graph the equation
30. For the equation y= 6+6x-1/3x^2 find the vertex and the axis of symmetry
38. For the function f(x) = x^2-8x+15 find f(0)
This question is from textbook Algebra Structure and Method
Answer by rmromero(383)   (Show Source):
You can put this solution on YOUR website!
Written Exercises#6,14,30,38 Pgs.386-387
6.Draw the graph of the linear function n(x)=0
The graph is a vertical line along y-axis
14.For the function f(x)= 4x-x^2 find the coordinates of the vertx, graph the equation.
Vertex : f(x)= 4x-x^2. remember the standard form of a quadratic equation
ax^2 + bx + c = 0. Rewrite f(x)= 4x-x^2 in standard form f(x) = -x^2 + 4x + 0
a = -1, b = 4, c = 0
Formula for solving the vertex :
-b
x = ____
2a
-4
= _______
2(-1)
-4
= _______ or 2
-2
Using x = 2 substitute it to
f(x)= 4x-x^2
= 4(2) - (2^2)
= 8 - 4
= 4
Vertex is (2, 4)
30. For the equation y= 6+6x-1/3x^2 find the vertex and the axis of symmetry
Can you give me the right equation?
38. For the function f(x) = x^2-8x+15 find f(0); x = 0
f(0) = 0^2 - 8(0) + 15
= 15
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