Creating Equations in Vertex Form

Which of the following equations matches vertex form of a quadratic?

• ax + by = c
• y = a(x - h)² + k
• y = ax² + bx + c
• y = mx + b

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

If given the equation y = 3(x + 5)² - 4, what is the vertex of the parabola?

• (5, -4)
• (-5, -4)
• (-15, -4)
• (15, -4)

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

What is the vertex of the parabola: y=2(x-3)²+4

• (3,4)
• (-3,4)
• (3, -4)
• (-3,-4)

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

Which equations matches the graph above?

• $h\left(x\right)=\ \left(x+1\right)^2-4$

• $h\left(x\right)=-\left(x+1\right)^2-4$

• $h\left(x\right)=\left(x+4\right)^2-1$

• $h\left(x\right)=-\left(x+4\right)^2+1$

Tags

CCSS.HSF-IF.C.7A

Write the equation of a parabola that has a vertex of (1,-6) and goes through the point (4,21).

• $y=\left(x-1\right)^2+6$

• $y=\left(x-4\right)^2+21$

• $y=3\left(x-1\right)^2-6$

• $y=3\left(x-4\right)^2+21$

Write the equation of a parabola with a vertex of (-6,-4) and that goes through the point (-2,12).

• $y=\left(x+6\right)^2-4$

• $y=\left(x+2\right)^2+12$

• $y=\left(x+4\right)^2-6$

• $y=2\left(x+6\right)^2-4$

Write the equation of a parabola that has a vertex of (1,2) and that goes through the point (3,-6).

• $y=2\left(x-1\right)^2+2$

• $y=-2\left(x-1\right)^2+2$

• $y=3\left(x-1\right)^2+2$

• $y=-3\left(x-1\right)^2+2$

Write the equation of the parabola that goes through the point (0,4) and has a vertex of (2,1).

• $y=\frac{3}{4}\left(x-2\right)^2+1$

• $y=\frac{3}{4}\left(x-0\right)^2+4$

• $y=-\frac{3}{4}\left(x-2\right)^2+1$

• $y=-\frac{3}{4}x^2+4$