What is the axis of symmetry for f(x) = 2x2- 4x + 5? Axis of Symmetry of a Parabola: In mathematics, a parabola is a graph of a quadratic function,f(x) =ax2+bx+c, that has the shape of a U or an upside down U. The axis of symmetry of a parabola is the vertical lin...
Derivation of the Axis of Symmetry for a Parabola How to Find Axis of Symmetry Axis of Symmetry Formula Examples Finding the Vertex of a Parabola How to Find the Axis of Symmetry on a Graph Lesson SummaryShow Frequently Asked Questions What is the axis of symmetry and vertex? The axis ...
question 1 of 3 What is the equation of the axis of symmetry for the graph? x = 1 x = -1 x = -8 y = -8 Next Worksheet Print Worksheet 1. What is the axis of symmetry for a parabola expressed by the quadratic equation of x2 + 10x - 25? x = -5 x = 5 x ...
Axis of Symmetry, Axis of Symmetry Definition, What is axis of symmetry? Axis of symmetry formula, Axis of symmetry equation, How to find axis of symmetry?
A line of symmetry for a graph. The two sides of a graph on either side of the axis of symmetry look like mirror images of each other. Example: This is a graph of the parabola y = x2 –4x + 2 together with its axis of symmetry x = 2. The axis of symmetry is the red ...
There are two different formulas that you can use to find the axis of symmetry. One formula works when the parabola's equation is invertex formand the other works when the parabola's equation is instandard form. Standard Form If your equation is inthe standard formy=ax2+bx+cy=ax2+bx+...
Find the axis of symmetry for y=x2+4x−7. Parabola; Axis of Symmetry:The axis of symmetry in the case of a parabola is defined as that line that passes through the vertex of the parabola and divides it into two equal halves. Here we will use the standard form of the parabola ...
The axis of symmetry for this parabola is the vertical line:x=0 Step 6: Find the directrixThe directrix of the parabola is given by:y=aThus, substituting for a:y=116 Step 7: Calculate the latus rectumThe length of the latus rectum is given by:4a=4×116=14 Summary of Results- ...
Find the Axis of Symmetry y=2(x-4)^2-3y=2(x−4)2−3y=2(x-4)2-3 Use the vertex form, y=a(x−h)2+ky=a(x-h)2+k, to determine the values of aa, hh, and kk. a=2a=2 h=4h=4 k=−3k=-3Since the value of aa is positive, the parabola opens up. Opens Up...
Find the Axis of Symmetry y=2(x-2)^2-4y=2(x−2)2−4y=2(x-2)2-4 Use the vertex form, y=a(x−h)2+ky=a(x-h)2+k, to determine the values of aa, hh, and kk. a=2a=2 h=2h=2 k=−4k=-4Since the value of aa is positive, the parabola opens up. Opens Up...