The vertex form of the equation of a parabola is y = 3(x - 4)2 - 22.What is the standard form of the equation?
Question
Solution
The standard form of a parabola's equation is y = ax^2 + bx + c. To convert the vertex form y = a(x - h)^2 + k to the standard form, you need to expand the equation.
Given the vertex form of the equation y = 3(x - 4)^2 - 22, let's expand it:
y = 3(x^2 - 8x + 16) - 22 y = 3x^2 - 24x + 48 - 22 y = 3x^2 - 24x + 26
So, the standard form of the equation is y = 3x^2 - 24x + 26.
Similar Questions
The vertex form of the equation of a parabola is x = (y - 3)2 + 41.What is the standard form of the equation?
The graph of the quadratic is a parabola that passes through the points , , and . What is the -coordinate of the vertex of the parabola?
What is the standard form of the equation of a parabola that opens left or right?
orWatch a videoWrite the equation in vertex form for the parabola with focus (0,9) and directrix y=–3.Simplify any fractions.
Find the coordinates of the vertex of the graph of the following equation: 𝑦=(𝑥−4)(𝑥+2)y=(x−4)(x+2)
Upgrade your grade with Knowee
Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.