Which equation has a graph that is a parabola with a vertex at (–2, 0)?

How do you find the vertex of a parabola with two points?

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.

Which is the equation of a parabola with vertex?

The equations of parabolas with vertex (0,0) are y2=4px y 2 = 4 p x when the x-axis is the axis of symmetry and x2=4py x 2 = 4 p y when the y-axis is the axis of symmetry. These standard forms are given below, along with their general graphs and key features.

What is the equation of a parabola with vertex and focus?

If you have the equation of a parabola in vertex form y=a(x−h)2+k, then the vertex is at (h,k) and the focus is (h,k+14a). Notice that here we are working with a parabola with a vertical axis of symmetry, so the x-coordinate of the focus is the same as the x-coordinate of the vertex.

Where is the vertex on a graph?

Parabolas always have a lowest point (or a highest point, if the parabola is upside-down). This point, where the parabola changes direction, is called the “vertex”. If the quadratic is written in the form y = a(x – h)2 + k, then the vertex is the point (h, k).

What is the equation of a parabola?

Given the focus (h,k) and the directrix y=mx+b, the equation for a parabola is (y – mx – b)^2 / (m^2 +1) = (x – h)^2 + (y – k)^2.

How do you write in vertex form?

When written in “vertex form”: (h, k) is the vertex of the parabola, and x = h is the axis of symmetry. the h represents a horizontal shift (how far left, or right, the graph has shifted from x = 0). the k represents a vertical shift (how far up, or down, the graph has shifted from y = 0).

Leave a Reply

Your email address will not be published. Required fields are marked *

Releated

Convert to an exponential equation

How do you convert a logarithmic equation to exponential form? How To: Given an equation in logarithmic form logb(x)=y l o g b ( x ) = y , convert it to exponential form. Examine the equation y=logbx y = l o g b x and identify b, y, and x. Rewrite logbx=y l o […]

H2o2 decomposition equation

What does h2o2 decompose into? Hydrogen peroxide can easily break down, or decompose, into water and oxygen by breaking up into two very reactive parts – either 2OHs or an H and HO2: If there are no other molecules to react with, the parts will form water and oxygen gas as these are more stable […]