Question

Which equation represents a graph with a vertex at (â€"3, 2)? y = 4x2 24x 38 y = 4x2 â€" 24x 38 y = 4x2 12x 2 y = 4x2 16x 13.

Answer 1

Vertex of the graph is one of the object that are connected together.The vertex form of an equation is another form of writing out the equation of a parabola. Option one is the correct option.

Vertex

Vertex of the graph is one of the object that are connected together

The standard quadratic form is,

$y=ax^2 +bx+c$

The vertex form of a quadratic equation is,

$y=a(x-h)^2+k$

Here y is the y-coordinate, x is the x-coordinate, and a is the constant and its sign tells us whether the parabola is facing up(positive sign) or facing down (negative sign), and (h,k) are vertex.

Rewrite the vertex form of a quadratic equation using the given point (-3,2),

$y=4(x+3)^2+2$

Simplify it to solve it further,

$y=4x^2+24x+36+2$

$y=4x^2+24x+38$

Hence, option one is the correct option.

For more about the vertex form, follow the link below-https://brainly.com/question/15165354