fbpx

Vertex Form and Parabola Transformations

🎬 Video Tutorial

  • (0:01) Vertex Form of Quadratic Equations: The vertex form is $y = a(x – h)^2 + k$, where $(h, k)$ is the vertex of the parabola and $a \neq 0$. For example, in $y = 0.5 (x – 2)^2 – 3$, the vertex is $(2, -3)$.
  • (0:14) Vertex of a Parabola (The Turning Point): The vertex $(h, k)$ is the highest or lowest point. If $a > 0$, the parabola has a minimum at $x = h$ (opens upwards). If $a < 0$, it has a maximum at $x = h$ (opens downwards).
  • (1:28) Horizontal and Vertical Shift of the Parabola: Changing $h$ shifts the parabola horizontally (left or right), and changing $k$ shifts it vertically (up or down). As long as $a$ remains the same, the shape of the parabola remains consistent.

📂 Revision Cards

🍪 Quiz Time - Practice Now!

0%

Vertex Form and Parabola Transformations

1 / 6

Q: In the vertex form of a quadratic equation, $y = a(x - h)^2 + k$, what does $h$ represent?

2 / 6

Q: In the vertex form of a quadratic equation, $y = a(x - h)^2 + k$, what does $k$ represent?

3 / 6

Q: In the quadratic equation $y = -3(x - 4)^2 + 7$, what is the vertex?

4 / 6

Q: In the quadratic equation $y = 2(x + 3)^2 - 5$, what is the vertex?

5 / 6

Q: In the quadratic equation $y = -4(x - 1)^2 + 6$, what is the vertex?

6 / 6

Q: In the quadratic equation $y = -5(x + 5)^2 - 2$, find the highest point of the parabola?

Your score is

The average score is 0%

0%

🎩 AI Math Solver (ChatCat)

Need math help? Chat with our AI Math Solver at the bottom right!

0 0 votes
Article Rating
guest
0 Comments
Newest
Oldest Most Voted
Inline Feedbacks
View all comments
Post a comment

Leave a Comment

Your email address will not be published.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