Vertex Form of a Quadratic Equation
The vertex form of a quadratic equation is a compact and insightful representation that reveals key information about the parabolic graph it represents. Written as \( f(x) = a(x - h)^2 + k \), this form allows for a direct interpretation of the vertex coordinates (h, k) and the direction of the parabola's opening. Understanding the vertex form facilitates a quick grasp of essential characteristics, making it a powerful tool in analyzing and graphing quadratic functions.
Questions
- What is the vertex form of #y=-4x^2-4x+1#?
- What is the vertex form of #y= 30x^2+5x-12#?
- How do you find a quadratic function whose vertex is at the point (2,9) and has the given x intercepts (0.5,0) & (3.5,0)?
- How do you write #y=1.4x^2+5.6x+3# in vertex form?
- How do you find the vertex of #f(x)=-2x^2+5x-7#?
- What are the vertex, focus and directrix of # y=3x^2+8x+17 #?
- How do you find the vertex of a parabola #y= [x+9]^2-14#?
- What is the vertex form of #y=(x + 21)(x + 1) #?
- What is the vertex form of #5y=3x^2 -2x +8#?
- How do you write # y =-10x^2 + 2# in vertex form?
- What is the vertex form of #y= 3x^2-15x-14 #?
- How do you find the vertex and intercepts for #y = (–¼)x^2#?
- How do you write the quadratic in vertex form given #y= x^2 - 12x + 20 #?
- How do you write a quadratic function in intercept form who has x intercepts =16/3, -5/2 and passes through points (-9/2, -25/18)?
- What is the vertex form of #y= 9x^2 + 27x + 27 #?
- How do you find the vertex and the intercepts for #y = -x^2 - 4x + 7#?
- What is the vertex form of #y= 2x^2+7x-15#?
- What is the standard form of the parabola with a vertex at (4,30) and a focus at (4,2)?
- What is the vertex form of the equation of the parabola with a focus at (12,22) and a directrix of #y=11 #?
- How do you find the vertex and the intercepts for #f(x)= -6x^2+ 5x + 18#?