Part I – Vertex Form of a Quadratic Equation For each parabola, state the coordinates of the vertex and the direction which it opens 1) y = 2(x – 5)2 + 3 2) y = -(x + 17)2 – 12.5 3) y = x2 – 5 Put each equation in vertex form. Then state the coordinates of the ...
The vertex form can be used to identify the vertex, {eq}(-2,3) {/eq}. The standard form can be used to identify the y-intercept, {eq}(0,-1) {/eq}. Note that {eq}a {/eq} in both forms is -1. Vertex Form Equation The vertex form of a quadratic equation is used to easil...
What is the equation of the quadratic function whose vertex of the graph is on the xx-axis and passes through the two points (1,4)(1,4) and (2,8)(2,8)? Here is my attempt: Use the vertex form of a parabola f(x)=a(x–h)2+kf(x)=a(x–h)2+k where...
Fireworks – Vertex Form of a Quadratic Equation • Recall that the standard form of a quadratic equation is y = a·x2 + b·x + c where a, b, and c are numbers and a does not equal 0. • The vertex form of a quadratic equation is y = a·(x – h)2 + k where (h, k...
Find the vertex, focus, and directrix of the parabola. Then sketch the parabola. {eq}y^2 + 6y + 8x + 25 = 0 {/eq} Parabola: A parabola is a conic section which is described using a quadratic equation and whose graph is nearly {eq}U{/eq}...
Find the X-intercept(s) and Vertex of a Parabola:y−x2−4x=4 Step 1:Identify the given equation. y−x2−4x=4 Change the given equation into y=f(x) form. y=x2+4x+4 Finding X-intercept(s): Step 2:To solve for the x-intercept(s), equate y=0 and solve for x. ...
【题目】What is the equation of the quadratic functionwith a vertex at (2-25) and an x-intercept at(7,0)? (A.f(x)=(x-2)(x-7)B.f(x)=(x+2)(x+7)C.f(x)=(x-3)(x+7)D.f(x)=(x+3)(x-7) 相关知识点: 试题来源: ...
y=3(x-3)^2+24 y=(x-3)^2+6○ y=(x+3)^2+6y=(x+3)^2+24 相关知识点: 试题来源: 解析 【解析】y=x^2+6x+15 Aoweknowtoanowtty=ax^2+bx+c y=ax^2+bx+cabeconuceHetovenfeoombyy=a(x-h)^2+k ∴y=x^2+6x+15 y=x^2+6x+9-9+15 y=((x+3)^2+6)/(9+2x)= ...
What is the equation of the quadratic function with a vertex at (2,-25) and an x-intercept at (7,0)? ( ) A. f(x)=(x-2)(x-7) B. f(x)=(x+2)(x+7) C. f(x)=(x-3)(x+7) D. f(x)=(x+3)(x-7) 相关知识点: 试题来源: ...
The vertex of a parabola is a point at which the parabola makes its sharpest turn. The vertex of f(x) = ax^2 + bx + c is given by (-b/2a, f(-b/2a)). Learn how to find vertex of a parabola from different forms like standard form, vertex form, and inter