What are the coordinates of the minimum point of the quadratic equation y x 2 6x 5?
Our minimum point is therefore (-3,-4).
What is the axis of symmetry of the function y x 2 6x 5?
The axis of symmetry is x=3 .
How do you find the coordinates of the minimum point of a curve?
Looking at this graph, you can see that the minimum point of the graph is at y = -3. The second way to find the minimum value comes when you have the equation y = ax^2 + bx + c. If your equation is in the form y = ax^2 + bx + c, you can find the minimum by using the equation min = c – b^2/4a.
What is the vertex of the parabola in the graph?
The vertex of a parabola is the point where the parabola crosses its axis of symmetry. If the coefficient of the x2 term is positive, the vertex will be the lowest point on the graph, the point at the bottom of the “ U ”-shape.
What is the coordinate point of the minimum?
The vertex is always the lowest point of a quadratic function of the form y=ax2+bx+c with a>1 . Therefore, the minimum point is (0,2) .
How do you find the vertex and axis?
The Vertex Form of a quadratic function is given by: f(x)=a(x−h)2+k , where (h,k) is the Vertex of the parabola. x=h is the axis of symmetry. Use completing the square method to convert f(x) into Vertex Form.
How do you find the vertex of a parabola?
The y -coordinate of the vertex can be found through plugging in x = 3, which is the x -coordinate of the vertex, into the parabola’s equation: So we know (3, − 4) is the vertex of the parabola.
What is the Y-Y value at x = 4x = 4?
The final answer is 3 3. The y y value at x = 4 x = 4 is 3 3. Replace the variable x x with 5 5 in the expression. Simplify the result. Tap for more steps… Simplify each term. Tap for more steps… Raise 5 5 to the power of 2 2. Multiply − 1 – 1 by 25 25. Multiply 6 6 by 5 5. Simplify by adding and subtracting. Tap for more steps…
How do you find the directrix of a parabola?
The directrix of a parabola is the horizontal line found by subtracting p p from the y-coordinate k k of the vertex if the parabola opens up or down. Substitute the known values of p p and k k into the formula and simplify.