Topic 31: Write Quadratic Equations Vertex and Point

Write an equation for the parabola whose vertex is at (3,6) and which passes through (4,4)?

• $y=-2\left(x+3\right)^2-6$

• $y=\left(x+3\right)^2-6$

• $y=2\left(x-3\right)^2+6$

• $y=-2\left(x-3\right)^2+6$

Which quadratic function in vertex form can be represented by the graph that has a vertex at (-2,6) and passes through the point (6,38)?

• $y=-\frac{1}{2}\left(x+2\right)^2+6$

• $y=-\frac{1}{2}\left(x-2\right)^2-6$

• $y=\frac{1}{2}\left(x+2\right)^2+6$

• $y=\frac{1}{2}\left(x-2\right)^2+6$

Which function's graph has a vertex at (4,-1) and contains the point (0,7)?

• $y=\frac{1}{2}\left(x+4\right)^2-1$

• $y=\frac{1}{2}\left(x-4\right)^2-1$

• $y=2\left(x-4\right)^2+1$

• $y=2\left(x+4\right)^2+1$

Write the equation of the parabola in vertex form that has a vertex at (-2,4) and passes through the point (2,84)?

• $y=5\left(x-2\right)^2+4$

• $y=84\left(x+2\right)^2-4$

• $y=5\left(x+2\right)^2+4$

• $y=2\left(x-2\right)^2+4$

Which quadratic function in vertex form can be represented by the graph that has a vertex at (0,3) and passes through the point (-1,5)?

• $y=5x^2-3$

• $y=2x-3$

• $y=-x^2+3$

• $y=2x^2+3$

The parabola  $f\left(x\right)=\left(x+3\right)^2+2$  has a vertex of (-3,2) and a y-intercept (0,11)?

• True 

• False

Which of the following is in vertex form?

• $y=ax^2+bx+c$

• $y=a\left(x-h\right)^2+k$

• $y=a\left(x-p\right)\left(x-q\right)$