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You're missing some terms. Assuming you mean y= 2(x-3)(2x-7)?

no i mean y = 2(x – 3)2 – 7

Hmm
so y=4x-19?
It's a straight line, infinite in both directions so the symmetry is at y=-19

I'm positive @BMI229 meant
y = 2(x - 3)² - 7

yes that is what I meant

What is the axis of symmetry of the graph of y = 2(x – 3)2 – 7?
x = –6
x = 2
x = 3
x = 7

mhmm... so what is the h-value in this equation
y = 2(x - 3)² - 7
?