SOLUTION: Please find the standard form/vertex form, vertex, x-intercept and y-intercept, and the graph of this function h(x)= -4x^2-8x+3

Algebra.Com
Question 825023: Please find the standard form/vertex form, vertex, x-intercept and y-intercept, and the graph of this function h(x)= -4x^2-8x+3
Answer by josgarithmetic(39618)   (Show Source): You can put this solution on YOUR website!
This relies on Completing the Square. This kind of question happens often.

Factor the -4 from the entire right-hand expression:

The terms containing x in the quadratic expression in the parentheses represents a square with the area missing. We ADD and SUBTRACT this inside the parentheses.
;


Remultiply the -4:

RELATED QUESTIONS

Please find the standard form/vertex form, vertex, x-intercept and y-intercept, and graph (answered by TimothyLamb)
Express the quadratic function in standard form f(x) = -x^2+4x must find the vertex,... (answered by josgarithmetic)
Express the quadratic function in standard form f(x) = -x^2+4x must find the vertex,... (answered by josgarithmetic,lwsshak3)
Find the standard form f(x)=a(x-h)^2+k of the quadratic function that has a y-intercept... (answered by Fombitz)
1.Express the Quadratic Function in Standard Form. 2.Find it's Vertex and its x- and y-... (answered by lwsshak3)
y+8=x^2+x+1. Put the equation into standard form. Find vertex and the... (answered by Fombitz)
y=xsquared+8x+12 Find the vertex, y intercept, and x intercept, and axis of symmetry and (answered by Mathtut)
A quadratic function is given. f(x) = {{{ x^2 - 4x }}} (a) Express the quadratic... (answered by josgarithmetic)
Write in vertex form. Sketch a graph of the function and label its vertex. 1. y = x^2 + (answered by Fombitz)